677950499088 has 400 divisors, whose sum is σ = 2125609238016. Its totient is φ = 208064609280.

The previous prime is 677950499077. The next prime is 677950499099. The reversal of 677950499088 is 880994059776.

677950499088 is a `hidden beast` number, since 6 + 7 + 7 + 9 + 50 + 499 + 0 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (677950499077) and next prime (677950499099).

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 79 ways as a sum of consecutive naturals, for example, 85455570 + ... + 85463502.

Almost surely, 2^677950499088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 677950499088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062804619008).

677950499088 is an abundant number, since it is smaller than the sum of its proper divisors (1447658738928).

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

677950499088 is a wasteful number, since it uses less digits than its factorization.

677950499088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8084 (or 8069 counting only the distinct ones).

The product of its (nonzero) digits is 274337280, while the sum is 72.

The spelling of 677950499088 in words is "six hundred seventy-seven billion, nine hundred fifty million, four hundred ninety-nine thousand, eighty-eight".