742588560 has 560 divisors, whose sum is σ = 3161690496. Its totient is φ = 158257152.

The previous prime is 742588559. The next prime is 742588591. The reversal of 742588560 is 65885247.

742588560 is a `hidden beast` number, since 7 + 4 + 2 + 5 + 88 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 6940027 + ... + 6940133.

Almost surely, 2^742588560 is an apocalyptic number.

742588560 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 742588560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580845248).

742588560 is an abundant number, since it is smaller than the sum of its proper divisors (2419101936).

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

742588560 is a wasteful number, since it uses less digits than its factorization.

742588560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 742588560 is about 27250.4781609424. The cubic root of 742588560 is about 905.5576104325.

The spelling of 742588560 in words is "seven hundred forty-two million, five hundred eighty-eight thousand, five hundred sixty".