747242496 has 616 divisors, whose sum is σ = 3007026624. Its totient is φ = 179159040.

The previous prime is 747242477. The next prime is 747242513. The reversal of 747242496 is 694242747.

747242496 is a `hidden beast` number, since 74 + 72 + 424 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (616).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (677376) is a multiple of the sum of its prime divisors (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 57480186 + ... + 57480198.

Almost surely, 2^747242496 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 747242496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1503513312).

747242496 is an abundant number, since it is smaller than the sum of its proper divisors (2259784128).

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

747242496 is a wasteful number, since it uses less digits than its factorization.

747242496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 36 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 747242496 is about 27335.7366097934. The cubic root of 747242496 is about 907.4454362386.

The spelling of 747242496 in words is "seven hundred forty-seven million, two hundred forty-two thousand, four hundred ninety-six".