677995176960 has 352 divisors, whose sum is σ = 2487213081600. Its totient is φ = 174965391360.

The previous prime is 677995176941. The next prime is 677995176997. The reversal of 677995176960 is 69671599776.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4206336 + ... + 4364544.

Almost surely, 2^677995176960 is an apocalyptic number.

677995176960 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 677995176960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1243606540800).

677995176960 is an abundant number, since it is smaller than the sum of its proper divisors (1809217904640).

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

677995176960 is a wasteful number, since it uses less digits than its factorization.

677995176960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158274 (or 158250 counting only the distinct ones).

The product of its (nonzero) digits is 270050760, while the sum is 72.

The spelling of 677995176960 in words is "six hundred seventy-seven billion, nine hundred ninety-five million, one hundred seventy-six thousand, nine hundred sixty".