622288628121600 has 2304 divisors, whose sum is σ = 2571887533662720. Its totient is φ = 142407106560000.

The previous prime is 622288628121557. The next prime is 622288628121637. The reversal of 622288628121600 is 6121826882226.

622288628121600 is a `hidden beast` number, since 6 + 2 + 2 + 2 + 8 + 8 + 6 + 2 + 8 + 1 + 21 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 103079113782 + ... + 103079119818.

It is an arithmetic number, because the mean of its divisors is an integer number (1116270630930).

Almost surely, 2^{622288628121600} is an apocalyptic number.

622288628121600 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 622288628121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285943766831360).

622288628121600 is an abundant number, since it is smaller than the sum of its proper divisors (1949598905541120).

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

622288628121600 is a wasteful number, since it uses less digits than its factorization.

622288628121600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6166 (or 6130 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 622288628121600 in words is "six hundred twenty-two trillion, two hundred eighty-eight billion, six hundred twenty-eight million, one hundred twenty-one thousand, six hundred".