6955560000 has 315 divisors, whose sum is σ = 25093616691. Its totient is φ = 1841472000.

The previous prime is 6955559971. The next prime is 6955560023. The reversal of 6955560000 is 655596.

The square root of 6955560000 is 83400.

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

6955560000 is a `hidden beast` number, since 6 + 95 + 5 + 560 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 545315904 + 6410244096 = 23352^2 + 80064^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 50039931 + ... + 50040069.

Almost surely, 2^6955560000 is an apocalyptic number.

6955560000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

6955560000 is the 83400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6955560000

6955560000 is an abundant number, since it is smaller than the sum of its proper divisors (18138056691).

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

6955560000 is an equidigital number, since it uses as much as digits as its factorization.

6955560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The cubic root of 6955560000 is about 1908.8744590718.

Multiplying 6955560000 by its sum of digits (36), we get a square (250400160000 = 500400²).

6955560000 divided by its sum of digits (36) gives a square (193210000 = 13900²).

The spelling of 6955560000 in words is "six billion, nine hundred fifty-five million, five hundred sixty thousand".