677190087000 has 384 divisors, whose sum is σ = 2769768743040. Its totient is φ = 145680998400.

The previous prime is 677190086941. The next prime is 677190087029. The reversal of 677190087000 is 780091776.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 754852 + ... + 1387148.

It is an arithmetic number, because the mean of its divisors is an integer number (7212939435).

Almost surely, 2^677190087000 is an apocalyptic number.

677190087000 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 677190087000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384884371520).

677190087000 is an abundant number, since it is smaller than the sum of its proper divisors (2092578656040).

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

677190087000 is a wasteful number, since it uses less digits than its factorization.

677190087000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632348 (or 632331 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The spelling of 677190087000 in words is "six hundred seventy-seven billion, one hundred ninety million, eighty-seven thousand".