677493951120 has 640 divisors, whose sum is σ = 2832727265280. Its totient is φ = 145288028160.

The previous prime is 677493951077. The next prime is 677493951133. The reversal of 677493951120 is 21159394776.

677493951120 is a `hidden beast` number, since 6 + 7 + 74 + 9 + 39 + 511 + 20 = 666.

677493951120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 127 ways as a sum of consecutive naturals, for example, 85076259 + ... + 85084221.

It is an arithmetic number, because the mean of its divisors is an integer number (4426136352).

Almost surely, 2^677493951120 is an apocalyptic number.

677493951120 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 677493951120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416363632640).

677493951120 is an abundant number, since it is smaller than the sum of its proper divisors (2155233314160).

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

677493951120 is a wasteful number, since it uses less digits than its factorization.

677493951120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8340 (or 8328 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 677493951120 in words is "six hundred seventy-seven billion, four hundred ninety-three million, nine hundred fifty-one thousand, one hundred twenty".