742720404560 has 40 divisors (see below), whose sum is σ = 1727331530760. Its totient is φ = 297001006592.

The previous prime is 742720404511. The next prime is 742720404589. The reversal of 742720404560 is 65404027247.

It can be written as a sum of positive squares in 4 ways, for example, as 450606097984 + 292114306576 = 671272^2 + 540476^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1087055 + ... + 1633134.

It is an arithmetic number, because the mean of its divisors is an integer number (43183288269).

Almost surely, 2^742720404560 is an apocalyptic number.

It is an amenable number.

742720404560 is an abundant number, since it is smaller than the sum of its proper divisors (984611126200).

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

742720404560 is a wasteful number, since it uses less digits than its factorization.

742720404560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2723615 (or 2723609 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 41.

The spelling of 742720404560 in words is "seven hundred forty-two billion, seven hundred twenty million, four hundred four thousand, five hundred sixty".