6382264320 has 448 divisors, whose sum is σ = 23591520000. Its totient is φ = 1634992128.

The previous prime is 6382264307. The next prime is 6382264351. The reversal of 6382264320 is 234622836.

6382264320 is a `hidden beast` number, since 6 + 3 + 8 + 2 + 2 + 643 + 2 + 0 = 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 31 ways as a sum of consecutive naturals, for example, 32071581 + ... + 32071779.

Almost surely, 2^6382264320 is an apocalyptic number.

6382264320 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 6382264320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11795760000).

6382264320 is an abundant number, since it is smaller than the sum of its proper divisors (17209255680).

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

6382264320 is a wasteful number, since it uses less digits than its factorization.

6382264320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 6382264320 is about 79889.0750979131. The cubic root of 6382264320 is about 1854.9189106354.

The spelling of 6382264320 in words is "six billion, three hundred eighty-two million, two hundred sixty-four thousand, three hundred twenty".