722514256128000 has 6144 divisors, whose sum is σ = 3368619491328000. Its totient is φ = 150923575296000.

The previous prime is 722514256127899. The next prime is 722514256128011. The reversal of 722514256128000 is 821652415227.

722514256128000 is a `hidden beast` number, since 7 + 2 + 2 + 5 + 1 + 4 + 2 + 561 + 2 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 2308352255844 + ... + 2308352256156.

It is an arithmetic number, because the mean of its divisors is an integer number (548277912000).

Almost surely, 2^{722514256128000} is an apocalyptic number.

722514256128000 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 722514256128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684309745664000).

722514256128000 is an abundant number, since it is smaller than the sum of its proper divisors (2646105235200000).

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

722514256128000 is an equidigital number, since it uses as much as digits as its factorization.

722514256128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 722514256128000 in words is "seven hundred twenty-two trillion, five hundred fourteen billion, two hundred fifty-six million, one hundred twenty-eight thousand".