654802625664 has 384 divisors, whose sum is σ = 2129483865600. Its totient is φ = 191335219200.

The previous prime is 654802625641. The next prime is 654802625669. The reversal of 654802625664 is 466526208456.

654802625664 is a `hidden beast` number, since 6 + 5 + 4 + 8 + 0 + 2 + 625 + 6 + 6 + 4 = 666.

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

It is a super-2 number, since 2×654802625664² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 654802625664.

It is not an unprimeable number, because it can be changed into a prime (654802625669) 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, 115096932 + ... + 115102620.

It is an arithmetic number, because the mean of its divisors is an integer number (5545530900).

Almost surely, 2^654802625664 is an apocalyptic number.

654802625664 is a gapful number since it is divisible by the number (64) 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 654802625664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064741932800).

654802625664 is an abundant number, since it is smaller than the sum of its proper divisors (1474681239936).

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

654802625664 is a wasteful number, since it uses less digits than its factorization.

654802625664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6044 (or 6029 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 654802625664 in words is "six hundred fifty-four billion, eight hundred two million, six hundred twenty-five thousand, six hundred sixty-four".