622679016960 has 3840 divisors, whose sum is σ = 3217294080000. Its totient is φ = 109247201280.

The previous prime is 622679016907. The next prime is 622679017033. The reversal of 622679016960 is 69610976226.

622679016960 is a `hidden beast` number, since 622 + 6 + 7 + 9 + 0 + 1 + 6 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a junction number, because it is equal to n+sod(n) for n = 622679016897 and 622679016906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 21471690226 + ... + 21471690254.

It is an arithmetic number, because the mean of its divisors is an integer number (837837000).

Almost surely, 2^622679016960 is an apocalyptic number.

622679016960 is a gapful number since it is divisible by the number (60) 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 622679016960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608647040000).

622679016960 is an abundant number, since it is smaller than the sum of its proper divisors (2594615063040).

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

622679016960 is a wasteful number, since it uses less digits than its factorization.

622679016960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 622679016960 in words is "six hundred twenty-two billion, six hundred seventy-nine million, sixteen thousand, nine hundred sixty".