742896360 has 160 divisors (see below), whose sum is σ = 2564856360. Its totient is φ = 192720384.

The previous prime is 742896313. The next prime is 742896377. The reversal of 742896360 is 63698247.

742896360 is a `hidden beast` number, since 7 + 4 + 2 + 8 + 9 + 636 + 0 = 666.

742896360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 682149924 + 60746436 = 26118^2 + 7794^2 .

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 39 ways as a sum of consecutive naturals, for example, 116782 + ... + 122978.

Almost surely, 2^742896360 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 742896360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282428180).

742896360 is an abundant number, since it is smaller than the sum of its proper divisors (1821960000).

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

742896360 is a wasteful number, since it uses less digits than its factorization.

742896360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6257 (or 6244 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 742896360 is about 27256.1251831584. The cubic root of 742896360 is about 905.6827098237.

The spelling of 742896360 in words is "seven hundred forty-two million, eight hundred ninety-six thousand, three hundred sixty".