677899332000 has 1152 divisors, whose sum is σ = 2758819295232. Its totient is φ = 156043008000.

The previous prime is 677899331951. The next prime is 677899332067. The reversal of 677899332000 is 233998776.

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, 2395403859 + ... + 2395404141.

It is an arithmetic number, because the mean of its divisors is an integer number (2394808416).

Almost surely, 2^677899332000 is an apocalyptic number.

677899332000 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 677899332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379409647616).

677899332000 is an abundant number, since it is smaller than the sum of its proper divisors (2080919963232).

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

677899332000 is a wasteful number, since it uses less digits than its factorization.

677899332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 677899332000 in words is "six hundred seventy-seven billion, eight hundred ninety-nine million, three hundred thirty-two thousand".