677937807360 has 1152 divisors, whose sum is σ = 2723938398720. Its totient is φ = 160526499840.

The previous prime is 677937807353. The next prime is 677937807361. The reversal of 677937807360 is 63708739776.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677937807361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15765995499 + ... + 15765995541.

It is an arithmetic number, because the mean of its divisors is an integer number (2364529860).

Almost surely, 2^677937807360 is an apocalyptic number.

677937807360 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 677937807360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361969199360).

677937807360 is an abundant number, since it is smaller than the sum of its proper divisors (2046000591360).

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

677937807360 is an frugal number, since it uses more digits than its factorization.

677937807360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 56010528, while the sum is 63.

The spelling of 677937807360 in words is "six hundred seventy-seven billion, nine hundred thirty-seven million, eight hundred seven thousand, three hundred sixty".