620625456000 has 1536 divisors, whose sum is σ = 2600504524800. Its totient is φ = 145221120000.

The previous prime is 620625455987. The next prime is 620625456013. The reversal of 620625456000 is 654526026.

620625456000 is a `hidden beast` number, since 6 + 2 + 0 + 6 + 2 + 5 + 45 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (620625455987) and next prime (620625456013).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1620431809 + ... + 1620432191.

It is an arithmetic number, because the mean of its divisors is an integer number (1693036800).

Almost surely, 2^620625456000 is an apocalyptic number.

620625456000 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 620625456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300252262400).

620625456000 is an abundant number, since it is smaller than the sum of its proper divisors (1979879068800).

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

620625456000 is a wasteful number, since it uses less digits than its factorization.

620625456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 620625456000 in words is "six hundred twenty billion, six hundred twenty-five million, four hundred fifty-six thousand".