657680937312 has 192 divisors, whose sum is σ = 1993099530240. Its totient is φ = 186001568256.

The previous prime is 657680937307. The next prime is 657680937313. The reversal of 657680937312 is 213739086756.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (657680937313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112095403 + ... + 112101269.

It is an arithmetic number, because the mean of its divisors is an integer number (10380726720).

Almost surely, 2^657680937312 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 657680937312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996549765120).

657680937312 is an abundant number, since it is smaller than the sum of its proper divisors (1335418592928).

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

657680937312 is a wasteful number, since it uses less digits than its factorization.

657680937312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7553 (or 7545 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 57.

The spelling of 657680937312 in words is "six hundred fifty-seven billion, six hundred eighty million, nine hundred thirty-seven thousand, three hundred twelve".