622768608000 has 3456 divisors, whose sum is σ = 3094154219520. Its totient is φ = 120434688000.

The previous prime is 622768607953. The next prime is 622768608013. The reversal of 622768608000 is 806867226.

It is a happy number.

622768608000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×622768608000² (a number of 24 digits) contains 22 as substring.

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 383 ways as a sum of consecutive naturals, for example, 16831583982 + ... + 16831584018.

Almost surely, 2^622768608000 is an apocalyptic number.

622768608000 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 622768608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547077109760).

622768608000 is an abundant number, since it is smaller than the sum of its proper divisors (2471385611520).

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

622768608000 is a wasteful number, since it uses less digits than its factorization.

622768608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 622768608000 in words is "six hundred twenty-two billion, seven hundred sixty-eight million, six hundred eight thousand".