264308020704 has 576 divisors, whose sum is σ = 990368870400. Its totient is φ = 67453378560.

The previous prime is 264308020681. The next prime is 264308020741. The reversal of 264308020704 is 407020803462.

264308020704 is a `hidden beast` number, since 2 + 643 + 0 + 8 + 0 + 2 + 0 + 7 + 0 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 95 ways as a sum of consecutive naturals, for example, 21930072 + ... + 21942120.

It is an arithmetic number, because the mean of its divisors is an integer number (1719390400).

Almost surely, 2^264308020704 is an apocalyptic number.

264308020704 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 264308020704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495184435200).

264308020704 is an abundant number, since it is smaller than the sum of its proper divisors (726060849696).

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

264308020704 is a wasteful number, since it uses less digits than its factorization.

264308020704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12125 (or 12105 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 264308020704 in words is "two hundred sixty-four billion, three hundred eight million, twenty thousand, seven hundred four".