677003920320 has 672 divisors, whose sum is σ = 2792219447808. Its totient is φ = 135316168704.

The previous prime is 677003920297. The next prime is 677003920363. The reversal of 677003920320 is 23029300776.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 31526227 + ... + 31547693.

It is an arithmetic number, because the mean of its divisors is an integer number (4155088464).

Almost surely, 2^677003920320 is an apocalyptic number.

677003920320 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 677003920320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396109723904).

677003920320 is an abundant number, since it is smaller than the sum of its proper divisors (2115215527488).

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

677003920320 is a wasteful number, since it uses less digits than its factorization.

677003920320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21545 (or 21516 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 39.

The spelling of 677003920320 in words is "six hundred seventy-seven billion, three million, nine hundred twenty thousand, three hundred twenty".