6606284400 has 120 divisors (see below), whose sum is σ = 23513517360. Its totient is φ = 1761672960.

The previous prime is 6606284369. The next prime is 6606284413. The reversal of 6606284400 is 44826066.

It is a happy number.

6606284400 is a `hidden beast` number, since 6 + 606 + 2 + 8 + 4 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 295047 + ... + 316646.

It is an arithmetic number, because the mean of its divisors is an integer number (195945978).

Almost surely, 2^6606284400 is an apocalyptic number.

6606284400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6606284400 is an abundant number, since it is smaller than the sum of its proper divisors (16907232960).

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

6606284400 is a wasteful number, since it uses less digits than its factorization.

6606284400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611720 (or 611703 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 6606284400 is about 81279.0526519595. The cubic root of 6606284400 is about 1876.3726268990.

The spelling of 6606284400 in words is "six billion, six hundred six million, two hundred eighty-four thousand, four hundred".