722897267400 has 1152 divisors, whose sum is σ = 3203644953600. Its totient is φ = 141523200000.

The previous prime is 722897267353. The next prime is 722897267459. The reversal of 722897267400 is 4762798227.

It is a happy number.

722897267400 is a `hidden beast` number, since 7 + 228 + 9 + 7 + 2 + 6 + 7 + 400 = 666.

It is a super-3 number, since 3×722897267400³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 555646750 + ... + 555648050.

It is an arithmetic number, because the mean of its divisors is an integer number (2780941800).

Almost surely, 2^722897267400 is an apocalyptic number.

722897267400 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 722897267400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601822476800).

722897267400 is an abundant number, since it is smaller than the sum of its proper divisors (2480747686200).

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

722897267400 is a wasteful number, since it uses less digits than its factorization.

722897267400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1571 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 722897267400 in words is "seven hundred twenty-two billion, eight hundred ninety-seven million, two hundred sixty-seven thousand, four hundred".