753896969222400 has 540 divisors, whose sum is σ = 2788424265213972. Its totient is φ = 200972575457280.

The previous prime is 753896969222387. The next prime is 753896969222407. The reversal of 753896969222400 is 4222969698357.

It is a happy number.

753896969222400 is a `hidden beast` number, since 7 + 5 + 3 + 89 + 69 + 69 + 2 + 22 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 15152397041664 + 738744572180736 = 3892608^2 + 27179856^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (753896969222407) 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 59 ways as a sum of consecutive naturals, for example, 1574141374 + ... + 1574620226.

Almost surely, 2^{753896969222400} 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 753896969222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1394212132606986).

753896969222400 is an abundant number, since it is smaller than the sum of its proper divisors (2034527295991572).

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

753896969222400 is a wasteful number, since it uses less digits than its factorization.

753896969222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481928 (or 481900 counting only the distinct ones).

The product of its (nonzero) digits is 705438720, while the sum is 72.

The spelling of 753896969222400 in words is "seven hundred fifty-three trillion, eight hundred ninety-six billion, nine hundred sixty-nine million, two hundred twenty-two thousand, four hundred".