264993523704 has 1152 divisors, whose sum is σ = 985353984000. Its totient is φ = 66487599360.

The previous prime is 264993523693. The next prime is 264993523759. The reversal of 264993523704 is 407325399462.

264993523704 is a `hidden beast` number, since 2 + 6 + 49 + 9 + 3 + 523 + 70 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4491415627 + ... + 4491415685.

It is an arithmetic number, because the mean of its divisors is an integer number (855342000).

Almost surely, 2^264993523704 is an apocalyptic number.

264993523704 is a gapful number since it is divisible by the number (24) 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 264993523704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492676992000).

264993523704 is an abundant number, since it is smaller than the sum of its proper divisors (720360460296).

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

264993523704 is a wasteful number, since it uses less digits than its factorization.

264993523704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 264993523704 in words is "two hundred sixty-four billion, nine hundred ninety-three million, five hundred twenty-three thousand, seven hundred four".