264155074560 has 728 divisors, whose sum is σ = 1024267709304. Its totient is φ = 64975011840.

The previous prime is 264155074541. The next prime is 264155074571. The reversal of 264155074560 is 65470551462.

264155074560 is a `hidden beast` number, since 2 + 6 + 4 + 15 + 5 + 0 + 74 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 764411904 + 263390662656 = 27648^2 + 513216^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 194088280 + ... + 194089640.

Almost surely, 2^264155074560 is an apocalyptic number.

264155074560 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 264155074560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512133854652).

264155074560 is an abundant number, since it is smaller than the sum of its proper divisors (760112634744).

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

264155074560 is an equidigital number, since it uses as much as digits as its factorization.

264155074560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1421 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 264155074560 in words is "two hundred sixty-four billion, one hundred fifty-five million, seventy-four thousand, five hundred sixty".