621675648 has 384 divisors, whose sum is σ = 2138572800. Its totient is φ = 177914880.

The previous prime is 621675641. The next prime is 621675683. The reversal of 621675648 is 846576126.

621675648 is a `hidden beast` number, since 6 + 21 + 67 + 564 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×621675648² = 772961222632439808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (621675641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7869273 + ... + 7869351.

It is an arithmetic number, because the mean of its divisors is an integer number (5569200).

Almost surely, 2^621675648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 621675648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1069286400).

621675648 is an abundant number, since it is smaller than the sum of its proper divisors (1516897152).

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

621675648 is a wasteful number, since it uses less digits than its factorization.

621675648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 118 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 621675648 is about 24933.4243135595. The cubic root of 621675648 is about 853.4693945370.

The spelling of 621675648 in words is "six hundred twenty-one million, six hundred seventy-five thousand, six hundred forty-eight".