677380562900580 has 576 divisors, whose sum is σ = 2602705790103552. Its totient is φ = 129656115671040.

The previous prime is 677380562900497. The next prime is 677380562900603. The reversal of 677380562900580 is 85009265083776.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12732279 + ... + 38947041.

It is an arithmetic number, because the mean of its divisors is an integer number (4518586441152).

Almost surely, 2^{677380562900580} is an apocalyptic number.

677380562900580 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 677380562900580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1301352895051776).

677380562900580 is an abundant number, since it is smaller than the sum of its proper divisors (1925325227202972).

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

677380562900580 is a wasteful number, since it uses less digits than its factorization.

677380562900580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26214864 (or 26214855 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 66.

The spelling of 677380562900580 in words is "six hundred seventy-seven trillion, three hundred eighty billion, five hundred sixty-two million, nine hundred thousand, five hundred eighty".