264750280704 has 1248 divisors, whose sum is σ = 1015149291520. Its totient is φ = 67077144576.

The previous prime is 264750280699. The next prime is 264750280771. The reversal of 264750280704 is 407082057462.

It is a happy number.

264750280704 is a `hidden beast` number, since 2 + 64 + 7 + 502 + 80 + 7 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a super-2 number, since 2×264750280704² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 264750280704.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3351269337 + ... + 3351269415.

Almost surely, 2^264750280704 is an apocalyptic number.

264750280704 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 264750280704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507574645760).

264750280704 is an abundant number, since it is smaller than the sum of its proper divisors (750399010816).

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

264750280704 is an equidigital number, since it uses as much as digits as its factorization.

264750280704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 264750280704 in words is "two hundred sixty-four billion, seven hundred fifty million, two hundred eighty thousand, seven hundred four".