264768124800 has 192 divisors, whose sum is σ = 909997292160. Its totient is φ = 67535001600.

The previous prime is 264768124783. The next prime is 264768124801. The reversal of 264768124800 is 8421867462.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 264768124800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264768124801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 378766 + ... + 820365.

It is an arithmetic number, because the mean of its divisors is an integer number (4739569230).

Almost surely, 2^264768124800 is an apocalyptic number.

264768124800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264768124800 is an abundant number, since it is smaller than the sum of its proper divisors (645229167360).

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

264768124800 is a wasteful number, since it uses less digits than its factorization.

264768124800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199181 (or 1199164 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The spelling of 264768124800 in words is "two hundred sixty-four billion, seven hundred sixty-eight million, one hundred twenty-four thousand, eight hundred".