264728078928000 has 2560 divisors, whose sum is σ = 1035905608108800. Its totient is φ = 66931030425600.

The previous prime is 264728078927981. The next prime is 264728078928017. The reversal of 264728078928000 is 829870827462.

264728078928000 is a `hidden beast` number, since 2 + 6 + 4 + 7 + 280 + 78 + 9 + 280 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 387596015659 + ... + 387596016341.

Almost surely, 2^{264728078928000} is an apocalyptic number.

264728078928000 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 264728078928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517952804054400).

264728078928000 is an abundant number, since it is smaller than the sum of its proper divisors (771177529180800).

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

264728078928000 is a wasteful number, since it uses less digits than its factorization.

264728078928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 264728078928000 in words is "two hundred sixty-four trillion, seven hundred twenty-eight billion, seventy-eight million, nine hundred twenty-eight thousand".