677401892424000 has 336 divisors, whose sum is σ = 2423425157078016. Its totient is φ = 180622189440000.

The previous prime is 677401892423947. The next prime is 677401892424017. The reversal of 677401892424000 is 424298104776.

677401892424000 is a `hidden beast` number, since 6 + 77 + 40 + 1 + 8 + 92 + 42 + 400 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 717152025 + ... + 718095975.

It is an arithmetic number, because the mean of its divisors is an integer number (7212574872256).

Almost surely, 2^{677401892424000} is an apocalyptic number.

677401892424000 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 677401892424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211712578539008).

677401892424000 is an abundant number, since it is smaller than the sum of its proper divisors (1746023264654016).

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

677401892424000 is a wasteful number, since it uses less digits than its factorization.

677401892424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953951 (or 953928 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 677401892424000 in words is "six hundred seventy-seven trillion, four hundred one billion, eight hundred ninety-two million, four hundred twenty-four thousand".