742642560 has 256 divisors, whose sum is σ = 2870035200. Its totient is φ = 179988480.

The previous prime is 742642513. The next prime is 742642601. The reversal of 742642560 is 65246247.

742642560 is a `hidden beast` number, since 7 + 4 + 2 + 642 + 5 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 188127 + ... + 192033.

It is an arithmetic number, because the mean of its divisors is an integer number (11211075).

Almost surely, 2^742642560 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 742642560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1435017600).

742642560 is an abundant number, since it is smaller than the sum of its proper divisors (2127392640).

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

742642560 is a wasteful number, since it uses less digits than its factorization.

742642560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3946 (or 3928 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 742642560 is about 27251.4689512327. The cubic root of 742642560 is about 905.5795601941.

The spelling of 742642560 in words is "seven hundred forty-two million, six hundred forty-two thousand, five hundred sixty".