264352876760 has 128 divisors (see below), whose sum is σ = 719559244800. Its totient is φ = 85474690560.

The previous prime is 264352876741. The next prime is 264352876763. The reversal of 264352876760 is 67678253462.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 264352876696 and 264352876705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264352876763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29396 + ... + 727715.

It is an arithmetic number, because the mean of its divisors is an integer number (5621556600).

Almost surely, 2^264352876760 is an apocalyptic number.

264352876760 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 264352876760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359779622400).

264352876760 is an abundant number, since it is smaller than the sum of its proper divisors (455206368040).

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

264352876760 is a wasteful number, since it uses less digits than its factorization.

264352876760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757201 (or 757197 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 56.

The spelling of 264352876760 in words is "two hundred sixty-four billion, three hundred fifty-two million, eight hundred seventy-six thousand, seven hundred sixty".