677880798082560 has 1920 divisors, whose sum is σ = 2654307188717184. Its totient is φ = 165112971264000.

The previous prime is 677880798082541. The next prime is 677880798082633. The reversal of 677880798082560 is 65280897088776.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 677880798082560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 169427840560 + ... + 169427844560.

Almost surely, 2^{677880798082560} is an apocalyptic number.

677880798082560 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 677880798082560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327153594358592).

677880798082560 is an abundant number, since it is smaller than the sum of its proper divisors (1976426390634624).

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

677880798082560 is a wasteful number, since it uses less digits than its factorization.

677880798082560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4526 (or 4498 counting only the distinct ones).

The product of its (nonzero) digits is 4551966720, while the sum is 81.

The spelling of 677880798082560 in words is "six hundred seventy-seven trillion, eight hundred eighty billion, seven hundred ninety-eight million, eighty-two thousand, five hundred sixty".