264931215360 has 768 divisors, whose sum is σ = 1003871232000. Its totient is φ = 58392576000.

The previous prime is 264931215331. The next prime is 264931215389. The reversal of 264931215360 is 63512139462.

It is an interprime number because it is at equal distance from previous prime (264931215331) and next prime (264931215389).

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1331312541 + ... + 1331312739.

It is an arithmetic number, because the mean of its divisors is an integer number (1307124000).

Almost surely, 2^264931215360 is an apocalyptic number.

264931215360 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 264931215360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501935616000).

264931215360 is an abundant number, since it is smaller than the sum of its proper divisors (738940016640).

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

264931215360 is a wasteful number, since it uses less digits than its factorization.

264931215360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 264931215360 in words is "two hundred sixty-four billion, nine hundred thirty-one million, two hundred fifteen thousand, three hundred sixty".