622401688800 has 288 divisors, whose sum is σ = 2328643144800. Its totient is φ = 160250388480.

The previous prime is 622401688789. The next prime is 622401688841. The reversal of 622401688800 is 8886104226.

622401688800 is a `hidden beast` number, since 622 + 4 + 0 + 16 + 8 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 129592 + ... + 1123208.

It is an arithmetic number, because the mean of its divisors is an integer number (8085566475).

Almost surely, 2^622401688800 is an apocalyptic number.

622401688800 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 622401688800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164321572400).

622401688800 is an abundant number, since it is smaller than the sum of its proper divisors (1706241456000).

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

622401688800 is a wasteful number, since it uses less digits than its factorization.

622401688800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993675 (or 993656 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 622401688800 in words is "six hundred twenty-two billion, four hundred one million, six hundred eighty-eight thousand, eight hundred".