564015329280 has 832 divisors, whose sum is σ = 2229923082240. Its totient is φ = 134302924800.

The previous prime is 564015329243. The next prime is 564015329309. The reversal of 564015329280 is 82923510465.

564015329280 is a `hidden beast` number, since 5 + 6 + 40 + 1 + 5 + 329 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (832).

It is a super-2 number, since 2×564015329280² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

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, 222841615 + ... + 222844145.

Almost surely, 2^564015329280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564015329280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114961541120).

564015329280 is an abundant number, since it is smaller than the sum of its proper divisors (1665907752960).

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

564015329280 is a wasteful number, since it uses less digits than its factorization.

564015329280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2613 (or 2585 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 564015329280 in words is "five hundred sixty-four billion, fifteen million, three hundred twenty-nine thousand, two hundred eighty".