264879028485504 has 320 divisors, whose sum is σ = 789984025696800. Its totient is φ = 88101875957760.

The previous prime is 264879028485497. The next prime is 264879028485569. The reversal of 264879028485504 is 405584820978462.

It is a happy number.

264879028485504 is a `hidden beast` number, since 2 + 6 + 4 + 8 + 7 + 9 + 0 + 28 + 48 + 550 + 4 = 666.

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 39 ways as a sum of consecutive naturals, for example, 9174556189 + ... + 9174585059.

Almost surely, 2^{264879028485504} is an apocalyptic number.

264879028485504 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 264879028485504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394992012848400).

264879028485504 is an abundant number, since it is smaller than the sum of its proper divisors (525104997211296).

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

264879028485504 is a wasteful number, since it uses less digits than its factorization.

264879028485504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30783 (or 30762 counting only the distinct ones).

The product of its (nonzero) digits is 1238630400, while the sum is 72.

The spelling of 264879028485504 in words is "two hundred sixty-four trillion, eight hundred seventy-nine billion, twenty-eight million, four hundred eighty-five thousand, five hundred four".