6556140900 has 81 divisors (see below), whose sum is σ = 20557476121. Its totient is φ = 1747656480.

The previous prime is 6556140827. The next prime is 6556140919. The reversal of 6556140900 is 90416556.

The square root of 6556140900 is 80970.

It is a perfect power (a square), and thus also a powerful number.

6556140900 is a `hidden beast` number, since 6 + 5 + 561 + 4 + 0 + 90 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2360210724 + 4195930176 = 48582^2 + 64776^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2427751 + ... + 2430449.

Almost surely, 2^6556140900 is an apocalyptic number.

6556140900 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

6556140900 is the 80970-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6556140900

6556140900 is an abundant number, since it is smaller than the sum of its proper divisors (14001335221).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6556140900 is a wasteful number, since it uses less digits than its factorization.

6556140900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5418 (or 2709 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The cubic root of 6556140900 is about 1871.6131713591.

Multiplying 6556140900 by its sum of digits (36), we get a square (236021072400 = 485820²).

6556140900 divided by its sum of digits (36) gives a square (182115025 = 13495²).

Multiplying 6556140900 by its product of nonzero digits (32400), we get a square (212418965160000 = 14574600²).

It can be divided in two parts, 6556 and 140900, that added together give a square (147456 = 384²).

The spelling of 6556140900 in words is "six billion, five hundred fifty-six million, one hundred forty thousand, nine hundred".