264056832000 has 1536 divisors, whose sum is σ = 1116401832000. Its totient is φ = 59454259200.

The previous prime is 264056831999. The next prime is 264056832007. The reversal of 264056832000 is 238650462.

264056832000 is a `hidden beast` number, since 2 + 64 + 0 + 568 + 32 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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 (264056832007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9105407986 + ... + 9105408014.

Almost surely, 2^264056832000 is an apocalyptic number.

264056832000 is a gapful number since it is divisible by the number (20) 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 264056832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558200916000).

264056832000 is an abundant number, since it is smaller than the sum of its proper divisors (852345000000).

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

264056832000 is a wasteful number, since it uses less digits than its factorization.

264056832000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 264056832000 in words is "two hundred sixty-four billion, fifty-six million, eight hundred thirty-two thousand".