753366966912 has 768 divisors, whose sum is σ = 2794526542080. Its totient is φ = 197074944000.

The previous prime is 753366966871. The next prime is 753366966923. The reversal of 753366966912 is 219669663357.

753366966912 is a `hidden beast` number, since 7 + 533 + 6 + 6 + 9 + 6 + 6 + 91 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 753366966912.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 136948162 + ... + 136953662.

It is an arithmetic number, because the mean of its divisors is an integer number (3638706435).

Almost surely, 2^753366966912 is an apocalyptic number.

753366966912 is a gapful number since it is divisible by the number (72) 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 753366966912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397263271040).

753366966912 is an abundant number, since it is smaller than the sum of its proper divisors (2041159575168).

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

753366966912 is a wasteful number, since it uses less digits than its factorization.

753366966912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5591 (or 5567 counting only the distinct ones).

The product of its digits is 66134880, while the sum is 63.

The spelling of 753366966912 in words is "seven hundred fifty-three billion, three hundred sixty-six million, nine hundred sixty-six thousand, nine hundred twelve".