677097571320 has 768 divisors, whose sum is σ = 2512238976000. Its totient is φ = 157287702528.

The previous prime is 677097571313. The next prime is 677097571373. The reversal of 677097571320 is 23175790776.

677097571320 is a `hidden beast` number, since 67 + 7 + 0 + 9 + 7 + 571 + 3 + 2 + 0 = 666.

It is a super-2 number, since 2×677097571320² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 518054107 + ... + 518055413.

It is an arithmetic number, because the mean of its divisors is an integer number (3271144500).

Almost surely, 2^677097571320 is an apocalyptic number.

677097571320 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 677097571320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1256119488000).

677097571320 is an abundant number, since it is smaller than the sum of its proper divisors (1835141404680).

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

677097571320 is a wasteful number, since it uses less digits than its factorization.

677097571320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 3889620, while the sum is 54.

The spelling of 677097571320 in words is "six hundred seventy-seven billion, ninety-seven million, five hundred seventy-one thousand, three hundred twenty".