676277804160 has 1536 divisors, whose sum is σ = 2964860928000. Its totient is φ = 144850083840.

The previous prime is 676277804087. The next prime is 676277804173. The reversal of 676277804160 is 61408772676.

676277804160 is a `hidden beast` number, since 6 + 7 + 627 + 7 + 8 + 0 + 4 + 1 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 676277804097 and 676277804106.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2043135195 + ... + 2043135525.

It is an arithmetic number, because the mean of its divisors is an integer number (1930248000).

Almost surely, 2^676277804160 is an apocalyptic number.

676277804160 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 676277804160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482430464000).

676277804160 is an abundant number, since it is smaller than the sum of its proper divisors (2288583123840).

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

676277804160 is a wasteful number, since it uses less digits than its factorization.

676277804160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

It can be divided in two parts, 67627 and 7804160, that added together give a palindrome (7871787).

The spelling of 676277804160 in words is "six hundred seventy-six billion, two hundred seventy-seven million, eight hundred four thousand, one hundred sixty".