264662532449280 has 704 divisors, whose sum is σ = 1075313664000000. Its totient is φ = 60472644304896.

The previous prime is 264662532449269. The next prime is 264662532449311. The reversal of 264662532449280 is 82944235266462.

264662532449280 is a `hidden beast` number, since 2 + 6 + 4 + 6 + 6 + 2 + 532 + 4 + 4 + 92 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 2785903221 + ... + 2785998219.

Almost surely, 2^{264662532449280} is an apocalyptic number.

264662532449280 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 264662532449280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537656832000000).

264662532449280 is an abundant number, since it is smaller than the sum of its proper divisors (810651131550720).

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

264662532449280 is a wasteful number, since it uses less digits than its factorization.

264662532449280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97919 (or 97895 counting only the distinct ones).

The product of its (nonzero) digits is 238878720, while the sum is 63.

The spelling of 264662532449280 in words is "two hundred sixty-four trillion, six hundred sixty-two billion, five hundred thirty-two million, four hundred forty-nine thousand, two hundred eighty".