721535736014400 has 336 divisors, whose sum is σ = 2384911027333760. Its totient is φ = 190975773081600.

The previous prime is 721535736014347. The next prime is 721535736014413. The reversal of 721535736014400 is 4410637535127.

It is a super-2 number, since 2×721535736014400² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 721535736014400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 692037480 + ... + 693079320.

Almost surely, 2^{721535736014400} 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 721535736014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1192455513666880).

721535736014400 is an abundant number, since it is smaller than the sum of its proper divisors (1663375291319360).

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

721535736014400 is a wasteful number, since it uses less digits than its factorization.

721535736014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042942 (or 1042927 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 48.

The spelling of 721535736014400 in words is "seven hundred twenty-one trillion, five hundred thirty-five billion, seven hundred thirty-six million, fourteen thousand, four hundred".