722010898022400 has 3600 divisors, whose sum is σ = 3152386200370176. Its totient is φ = 159937902673920.

The previous prime is 722010898022387. The next prime is 722010898022411. The reversal of 722010898022400 is 4220898010227.

It is a happy number.

722010898022400 is a `hidden beast` number, since 7 + 220 + 10 + 8 + 9 + 8 + 0 + 2 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (3600).

It is a super-2 number, since 2×722010898022400² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1967332147017 + ... + 1967332147383.

Almost surely, 2^{722010898022400} is an apocalyptic number.

722010898022400 is a gapful number since it is divisible by the number (70) 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 722010898022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1576193100185088).

722010898022400 is an abundant number, since it is smaller than the sum of its proper divisors (2430375302347776).

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

722010898022400 is a wasteful number, since it uses less digits than its factorization.

722010898022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 722010898022400 in words is "seven hundred twenty-two trillion, ten billion, eight hundred ninety-eight million, twenty-two thousand, four hundred".