657080077080 has 512 divisors, whose sum is σ = 2409290956800. Its totient is φ = 139945107456.

The previous prime is 657080077051. The next prime is 657080077127. The reversal of 657080077080 is 80770080756.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 903823677 + ... + 903824403.

It is an arithmetic number, because the mean of its divisors is an integer number (4705646400).

Almost surely, 2^657080077080 is an apocalyptic number.

657080077080 is a gapful number since it is divisible by the number (60) 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 657080077080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1204645478400).

657080077080 is an abundant number, since it is smaller than the sum of its proper divisors (1752210879720).

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

657080077080 is a wasteful number, since it uses less digits than its factorization.

657080077080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1311 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 48.

The spelling of 657080077080 in words is "six hundred fifty-seven billion, eighty million, seventy-seven thousand, eighty".