6327928320 has 320 divisors, whose sum is σ = 23871614976. Its totient is φ = 1399357440.

The previous prime is 6327928307. The next prime is 6327928333. The reversal of 6327928320 is 238297236.

It is an interprime number because it is at equal distance from previous prime (6327928307) and next prime (6327928333).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1664662 + ... + 1668458.

Almost surely, 2^6327928320 is an apocalyptic number.

6327928320 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 6327928320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11935807488).

6327928320 is an abundant number, since it is smaller than the sum of its proper divisors (17543686656).

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

6327928320 is a wasteful number, since it uses less digits than its factorization.

6327928320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3861 (or 3845 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 6327928320 is about 79548.2766626657. The cubic root of 6327928320 is about 1849.6398928988.

The spelling of 6327928320 in words is "six billion, three hundred twenty-seven million, nine hundred twenty-eight thousand, three hundred twenty".