677612770380 has 432 divisors, whose sum is σ = 2677546609920. Its totient is φ = 135443363328.

The previous prime is 677612770339. The next prime is 677612770397. The reversal of 677612770380 is 83077216776.

677612770380 is a `hidden beast` number, since 6 + 7 + 76 + 127 + 70 + 380 = 666.

677612770380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×677612770380³ (a number of 36 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3962119 + ... + 4129601.

It is an arithmetic number, because the mean of its divisors is an integer number (6198024560).

Almost surely, 2^677612770380 is an apocalyptic number.

677612770380 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 677612770380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338773304960).

677612770380 is an abundant number, since it is smaller than the sum of its proper divisors (1999933839540).

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

677612770380 is a wasteful number, since it uses less digits than its factorization.

677612770380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167550 (or 167532 counting only the distinct ones).

The product of its (nonzero) digits is 4148928, while the sum is 54.

The spelling of 677612770380 in words is "six hundred seventy-seven billion, six hundred twelve million, seven hundred seventy thousand, three hundred eighty".