677976203520 has 3456 divisors, whose sum is σ = 3382273843200. Its totient is φ = 125252075520.

The previous prime is 677976203477. The next prime is 677976203537. The reversal of 677976203520 is 25302679776.

677976203520 is a `hidden beast` number, since 6 + 7 + 7 + 9 + 7 + 620 + 3 + 5 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 12792003814 + ... + 12792003866.

It is an arithmetic number, because the mean of its divisors is an integer number (978667200).

Almost surely, 2^677976203520 is an apocalyptic number.

677976203520 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 677976203520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1691136921600).

677976203520 is an abundant number, since it is smaller than the sum of its proper divisors (2704297639680).

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

677976203520 is a wasteful number, since it uses less digits than its factorization.

677976203520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 54.

The spelling of 677976203520 in words is "six hundred seventy-seven billion, nine hundred seventy-six million, two hundred three thousand, five hundred twenty".