264801487338864 has 1280 divisors, whose sum is σ = 987328806912000. Its totient is φ = 66185033333760.

The previous prime is 264801487338859. The next prime is 264801487338889. The reversal of 264801487338864 is 468833784108462.

264801487338864 is a `hidden beast` number, since 2 + 6 + 4 + 8 + 0 + 1 + 487 + 3 + 3 + 88 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 264801487338792 and 264801487338801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 17164799919 + ... + 17164815345.

It is an arithmetic number, because the mean of its divisors is an integer number (771350630400).

Almost surely, 2^{264801487338864} is an apocalyptic number.

264801487338864 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 264801487338864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493664403456000).

264801487338864 is an abundant number, since it is smaller than the sum of its proper divisors (722527319573136).

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

264801487338864 is a wasteful number, since it uses less digits than its factorization.

264801487338864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15943 (or 15931 counting only the distinct ones).

The product of its (nonzero) digits is 1189085184, while the sum is 72.

The spelling of 264801487338864 in words is "two hundred sixty-four trillion, eight hundred one billion, four hundred eighty-seven million, three hundred thirty-eight thousand, eight hundred sixty-four".