6396927600 has 480 divisors, whose sum is σ = 24909120000. Its totient is φ = 1370787840.

The previous prime is 6396927587. The next prime is 6396927613. The reversal of 6396927600 is 67296936.

It is an interprime number because it is at equal distance from previous prime (6396927587) and next prime (6396927613).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6396927600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23780266 + ... + 23780534.

It is an arithmetic number, because the mean of its divisors is an integer number (51894000).

Almost surely, 2^6396927600 is an apocalyptic number.

6396927600 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 6396927600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12454560000).

6396927600 is an abundant number, since it is smaller than the sum of its proper divisors (18512192400).

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

6396927600 is a wasteful number, since it uses less digits than its factorization.

6396927600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 48.

The square root of 6396927600 is about 79980.7951948466. The cubic root of 6396927600 is about 1856.3383855249.

The spelling of 6396927600 in words is "six billion, three hundred ninety-six million, nine hundred twenty-seven thousand, six hundred".