6400992600 has 480 divisors, whose sum is σ = 23347724400. Its totient is φ = 1623628800.

The previous prime is 6400992553. The next prime is 6400992613. The reversal of 6400992600 is 62990046.

6400992600 is a `hidden beast` number, since 6 + 40 + 0 + 9 + 9 + 2 + 600 = 666.

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 119 ways as a sum of consecutive naturals, for example, 35364510 + ... + 35364690.

Almost surely, 2^6400992600 is an apocalyptic number.

6400992600 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 6400992600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11673862200).

6400992600 is an abundant number, since it is smaller than the sum of its proper divisors (16946731800).

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

6400992600 is a wasteful number, since it uses less digits than its factorization.

6400992600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 287 counting only the distinct ones).

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

The square root of 6400992600 is about 80006.2035094779. The cubic root of 6400992600 is about 1856.7315126724.

The spelling of 6400992600 in words is "six billion, four hundred million, nine hundred ninety-two thousand, six hundred".