742107564 has 72 divisors (see below), whose sum is σ = 2117016720. Its totient is φ = 217123200.

The previous prime is 742107559. The next prime is 742107577. The reversal of 742107564 is 465701247.

742107564 is a `hidden beast` number, since 74 + 21 + 0 + 7 + 564 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20827 + ... + 43794.

It is an arithmetic number, because the mean of its divisors is an integer number (29403010).

Almost surely, 2^742107564 is an apocalyptic number.

It is an amenable number.

742107564 is an abundant number, since it is smaller than the sum of its proper divisors (1374909156).

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

742107564 is a wasteful number, since it uses less digits than its factorization.

742107564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64671 (or 64666 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 742107564 is about 27241.6512715364. The cubic root of 742107564 is about 905.3620496202.

The spelling of 742107564 in words is "seven hundred forty-two million, one hundred seven thousand, five hundred sixty-four".