746295424560 has 400 divisors, whose sum is σ = 3006504880896. Its totient is φ = 168035129856.

The previous prime is 746295424517. The next prime is 746295424577. The reversal of 746295424560 is 65424592647.

746295424560 is a `hidden beast` number, since 7 + 4 + 6 + 2 + 9 + 54 + 24 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 746295424497 and 746295424506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2916339 + ... + 3161901.

Almost surely, 2^746295424560 is an apocalyptic number.

746295424560 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 746295424560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1503252440448).

746295424560 is an abundant number, since it is smaller than the sum of its proper divisors (2260209456336).

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

746295424560 is a wasteful number, since it uses less digits than its factorization.

746295424560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245662 (or 245647 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 746295424560 in words is "seven hundred forty-six billion, two hundred ninety-five million, four hundred twenty-four thousand, five hundred sixty".