677116510992 has 160 divisors (see below), whose sum is σ = 2061327471360. Its totient is φ = 212352814080.

The previous prime is 677116510981. The next prime is 677116510997. The reversal of 677116510992 is 299015611776.

677116510992 is a `hidden beast` number, since 6 + 7 + 7 + 116 + 510 + 9 + 9 + 2 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (677116510997) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47508 + ... + 1164684.

It is an arithmetic number, because the mean of its divisors is an integer number (12883296696).

Almost surely, 2^677116510992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 677116510992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030663735680).

677116510992 is an abundant number, since it is smaller than the sum of its proper divisors (1384210960368).

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

677116510992 is a wasteful number, since it uses less digits than its factorization.

677116510992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117278 (or 1117266 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 54.

The spelling of 677116510992 in words is "six hundred seventy-seven billion, one hundred sixteen million, five hundred ten thousand, nine hundred ninety-two".