564750057465 has 128 divisors (see below), whose sum is σ = 1154782310400. Its totient is φ = 258987456000.

The previous prime is 564750057373. The next prime is 564750057491.

It is a happy number.

564750057465 is a `hidden beast` number, since 5 + 6 + 4 + 7 + 5 + 0 + 0 + 574 + 65 = 666.

564750057465 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 564750057465 - 2¹⁴ = 564750041081 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17787805 + ... + 17819525.

It is an arithmetic number, because the mean of its divisors is an integer number (9021736800).

Almost surely, 2^564750057465 is an apocalyptic number.

564750057465 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

564750057465 is an abundant number, since it is smaller than the sum of its proper divisors (590032252935).

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

564750057465 is a wasteful number, since it uses less digits than its factorization.

564750057465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32396 (or 32390 counting only the distinct ones).

The product of its (nonzero) digits is 17640000, while the sum is 54.

The spelling of 564750057465 in words is "five hundred sixty-four billion, seven hundred fifty million, fifty-seven thousand, four hundred sixty-five".