562948064000 has 720 divisors, whose sum is σ = 1736260396416. Its totient is φ = 181235712000.

The previous prime is 562948063991. The next prime is 562948064011. The reversal of 562948064000 is 460849265.

It is a super-2 number, since 2×562948064000² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1306143785 + ... + 1306144215.

Almost surely, 2^562948064000 is an apocalyptic number.

562948064000 is a gapful number since it is divisible by the number (50) 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 562948064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868130198208).

562948064000 is an abundant number, since it is smaller than the sum of its proper divisors (1173312332416).

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

562948064000 is an frugal number, since it uses more digits than its factorization.

562948064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 44.

The spelling of 562948064000 in words is "five hundred sixty-two billion, nine hundred forty-eight million, sixty-four thousand".