722664734400 has 1008 divisors, whose sum is σ = 3056365540800. Its totient is φ = 158451793920.

The previous prime is 722664734303. The next prime is 722664734401. The reversal of 722664734400 is 4437466227.

722664734400 is a `hidden beast` number, since 7 + 2 + 266 + 47 + 344 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 (722664734401) 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, 505712886 + ... + 505714314.

Almost surely, 2^722664734400 is an apocalyptic number.

722664734400 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 722664734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1528182770400).

722664734400 is an abundant number, since it is smaller than the sum of its proper divisors (2333700806400).

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

722664734400 is a wasteful number, since it uses less digits than its factorization.

722664734400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1666 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 45.

The spelling of 722664734400 in words is "seven hundred twenty-two billion, six hundred sixty-four million, seven hundred thirty-four thousand, four hundred".