6690902400 has 1536 divisors, whose sum is σ = 32297932800. Its totient is φ = 1313832960.

The previous prime is 6690902389. The next prime is 6690902401. The reversal of 6690902400 is 42090966.

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 not an unprimeable number, because it can be changed into a prime (6690902401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 180835182 + ... + 180835218.

It is an arithmetic number, because the mean of its divisors is an integer number (21027300).

Almost surely, 2^6690902400 is an apocalyptic number.

6690902400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6690902400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16148966400).

6690902400 is an abundant number, since it is smaller than the sum of its proper divisors (25607030400).

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

6690902400 is a wasteful number, since it uses less digits than its factorization.

6690902400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 6690902400 is about 81797.9364042883. The cubic root of 6690902400 is about 1884.3499694702.

The spelling of 6690902400 in words is "six billion, six hundred ninety million, nine hundred two thousand, four hundred".