722269094400 has 1440 divisors, whose sum is σ = 3130605878400. Its totient is φ = 164846223360.

The previous prime is 722269094383. The next prime is 722269094401. The reversal of 722269094400 is 4490962227.

It is a happy number.

722269094400 is a `hidden beast` number, since 72 + 2 + 2 + 6 + 90 + 94 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×722269094400² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (722269094401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1066866862 + ... + 1066867538.

It is an arithmetic number, because the mean of its divisors is an integer number (2174031860).

Almost surely, 2^722269094400 is an apocalyptic number.

722269094400 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 722269094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565302939200).

722269094400 is an abundant number, since it is smaller than the sum of its proper divisors (2408336784000).

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

722269094400 is an frugal number, since it uses more digits than its factorization.

722269094400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 722269094400 in words is "seven hundred twenty-two billion, two hundred sixty-nine million, ninety-four thousand, four hundred".