264970216488960 has 2160 divisors, whose sum is σ = 1035755990405136. Its totient is φ = 62433087455232.

The previous prime is 264970216488949. The next prime is 264970216489021. The reversal of 264970216488960 is 69884612079462.

264970216488960 is a `hidden beast` number, since 2 + 6 + 4 + 9 + 70 + 2 + 16 + 488 + 9 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 17247043584 + 264952969445376 = 131328^2 + 16277376^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 710375915334 + ... + 710375915706.

Almost surely, 2^{264970216488960} is an apocalyptic number.

264970216488960 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 264970216488960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517877995202568).

264970216488960 is an abundant number, since it is smaller than the sum of its proper divisors (770785773916176).

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

264970216488960 is a wasteful number, since it uses less digits than its factorization.

264970216488960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 72.

The spelling of 264970216488960 in words is "two hundred sixty-four trillion, nine hundred seventy billion, two hundred sixteen million, four hundred eighty-eight thousand, nine hundred sixty".