752990611968 has 320 divisors, whose sum is σ = 2570725344000. Its totient is φ = 213163425792.

The previous prime is 752990611963. The next prime is 752990612027. The reversal of 752990611968 is 869116099257.

752990611968 is a `hidden beast` number, since 7 + 5 + 2 + 9 + 9 + 0 + 611 + 9 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (752990611963) 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 31 ways as a sum of consecutive naturals, for example, 10512018 + ... + 10583406.

It is an arithmetic number, because the mean of its divisors is an integer number (8033516700).

Almost surely, 2^752990611968 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 752990611968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285362672000).

752990611968 is an abundant number, since it is smaller than the sum of its proper divisors (1817734732032).

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

752990611968 is a wasteful number, since it uses less digits than its factorization.

752990611968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71532 (or 71510 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 63.

The spelling of 752990611968 in words is "seven hundred fifty-two billion, nine hundred ninety million, six hundred eleven thousand, nine hundred sixty-eight".