753004800000 has 864 divisors, whose sum is σ = 2881991712600. Its totient is φ = 188743680000.

The previous prime is 753004799977. The next prime is 753004800007. The reversal of 753004800000 is 8400357.

It can be written as a sum of positive squares in 12 ways, for example, as 279088210944 + 473916589056 = 528288^2 + 688416^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (753004800007) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 979199616 + ... + 979200384.

Almost surely, 2^753004800000 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 753004800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440995856300).

753004800000 is an abundant number, since it is smaller than the sum of its proper divisors (2128986912600).

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

753004800000 is an equidigital number, since it uses as much as digits as its factorization.

753004800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 753004800000 in words is "seven hundred fifty-three billion, four million, eight hundred thousand".