722792623408128 has 5280 divisors, whose sum is σ = 2940715386766080. Its totient is φ = 174813358325760.

The previous prime is 722792623408123. The next prime is 722792623408183. The reversal of 722792623408128 is 821804326297227.

722792623408128 is a `hidden beast` number, since 7 + 2 + 2 + 7 + 9 + 262 + 340 + 8 + 1 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (722792623408123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 4434310572975 + ... + 4434310573137.

It is an arithmetic number, because the mean of its divisors is an integer number (556953671736).

Almost surely, 2^{722792623408128} is an apocalyptic number.

722792623408128 is a gapful number since it is divisible by the number (78) 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 722792623408128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470357693383040).

722792623408128 is an abundant number, since it is smaller than the sum of its proper divisors (2217922763357952).

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

722792623408128 is a wasteful number, since it uses less digits than its factorization.

722792623408128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 722792623408128 in words is "seven hundred twenty-two trillion, seven hundred ninety-two billion, six hundred twenty-three million, four hundred eight thousand, one hundred twenty-eight".