657605082428 has 96 divisors (see below), whose sum is σ = 1394451878400. Its totient is φ = 265068101376.

The previous prime is 657605082427. The next prime is 657605082437. The reversal of 657605082428 is 824280506756.

It is a self number, because there is not a number n which added to its sum of digits gives 657605082428.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (657605082427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123863438 + ... + 123868746.

It is an arithmetic number, because the mean of its divisors is an integer number (14525540400).

Almost surely, 2^657605082428 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 657605082428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697225939200).

657605082428 is an abundant number, since it is smaller than the sum of its proper divisors (736846795972).

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

657605082428 is a wasteful number, since it uses less digits than its factorization.

657605082428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6979 (or 6977 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 53.

The spelling of 657605082428 in words is "six hundred fifty-seven billion, six hundred five million, eighty-two thousand, four hundred twenty-eight".