747991235496960 has 2112 divisors, whose sum is σ = 3437519708528640. Its totient is φ = 152726472622080.

The previous prime is 747991235496959. The next prime is 747991235496961. The reversal of 747991235496960 is 69694532199747.

It is a happy number.

747991235496960 is a `hidden beast` number, since 7 + 4 + 7 + 9 + 9 + 1 + 2 + 3 + 549 + 6 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (747991235496959) and next prime (747991235496961).

It is a self number, because there is not a number n which added to its sum of digits gives 747991235496960.

It is not an unprimeable number, because it can be changed into a prime (747991235496961) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 2729688277 + ... + 2729962283.

Almost surely, 2^{747991235496960} is an apocalyptic number.

747991235496960 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 747991235496960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718759854264320).

747991235496960 is an abundant number, since it is smaller than the sum of its proper divisors (2689528473031680).

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

747991235496960 is a wasteful number, since it uses less digits than its factorization.

747991235496960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274099 (or 274068 counting only the distinct ones).

The product of its (nonzero) digits is 5555329920, while the sum is 81.

The spelling of 747991235496960 in words is "seven hundred forty-seven trillion, nine hundred ninety-one billion, two hundred thirty-five million, four hundred ninety-six thousand, nine hundred sixty".