657881680416 has 96 divisors (see below), whose sum is σ = 1735892782848. Its totient is φ = 218157891840.

The previous prime is 657881680411. The next prime is 657881680439. The reversal of 657881680416 is 614086188756.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 657881680416.

It is not an unprimeable number, because it can be changed into a prime (657881680411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56771775 + ... + 56783361.

It is an arithmetic number, because the mean of its divisors is an integer number (18082216488).

Almost surely, 2^657881680416 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 657881680416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867946391424).

657881680416 is an abundant number, since it is smaller than the sum of its proper divisors (1078011102432).

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

657881680416 is a wasteful number, since it uses less digits than its factorization.

657881680416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14614 (or 14606 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 60.

The spelling of 657881680416 in words is "six hundred fifty-seven billion, eight hundred eighty-one million, six hundred eighty thousand, four hundred sixteen".