747279711360 has 1152 divisors, whose sum is σ = 3381759538560. Its totient is φ = 148370227200.

The previous prime is 747279711307. The next prime is 747279711403. The reversal of 747279711360 is 63117972747.

747279711360 is a `hidden beast` number, since 7 + 4 + 7 + 279 + 7 + 1 + 1 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 747279711297 and 747279711306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 115836135 + ... + 115842585.

It is an arithmetic number, because the mean of its divisors is an integer number (2935555155).

Almost surely, 2^747279711360 is an apocalyptic number.

747279711360 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 747279711360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1690879769280).

747279711360 is an abundant number, since it is smaller than the sum of its proper divisors (2634479827200).

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

747279711360 is a wasteful number, since it uses less digits than its factorization.

747279711360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6526 (or 6498 counting only the distinct ones).

The product of its (nonzero) digits is 3111696, while the sum is 54.

The spelling of 747279711360 in words is "seven hundred forty-seven billion, two hundred seventy-nine million, seven hundred eleven thousand, three hundred sixty".