747124560 has 600 divisors, whose sum is σ = 3268681416. Its totient is φ = 156764160.

The previous prime is 747124541. The next prime is 747124579. The reversal of 747124560 is 65421747.

747124560 is a `hidden beast` number, since 7 + 4 + 71 + 24 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (747124541) and next prime (747124579).

It can be written as a sum of positive squares in 4 ways, for example, as 33593616 + 713530944 = 5796^2 + 26712^2 .

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 119 ways as a sum of consecutive naturals, for example, 4127670 + ... + 4127850.

Almost surely, 2^747124560 is an apocalyptic number.

747124560 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 747124560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1634340708).

747124560 is an abundant number, since it is smaller than the sum of its proper divisors (2521556856).

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

747124560 is a wasteful number, since it uses less digits than its factorization.

747124560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 211 counting only the distinct ones).

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

The square root of 747124560 is about 27333.5793484864. The cubic root of 747124560 is about 907.3976935418.

The spelling of 747124560 in words is "seven hundred forty-seven million, one hundred twenty-four thousand, five hundred sixty".