264510449280 has 768 divisors, whose sum is σ = 1151736019200. Its totient is φ = 54337536000.

The previous prime is 264510449249. The next prime is 264510449303. The reversal of 264510449280 is 82944015462.

It is a happy number.

264510449280 is a `hidden beast` number, since 2 + 6 + 4 + 510 + 44 + 92 + 8 + 0 = 666.

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

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, 39469930 + ... + 39476630.

It is an arithmetic number, because the mean of its divisors is an integer number (1499656275).

Almost surely, 2^264510449280 is an apocalyptic number.

264510449280 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 264510449280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575868009600).

264510449280 is an abundant number, since it is smaller than the sum of its proper divisors (887225569920).

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

264510449280 is a wasteful number, since it uses less digits than its factorization.

264510449280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6833 (or 6818 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 264510449280 in words is "two hundred sixty-four billion, five hundred ten million, four hundred forty-nine thousand, two hundred eighty".