677433328992 has 480 divisors, whose sum is σ = 2354993270784. Its totient is φ = 186941260800.

The previous prime is 677433328981. The next prime is 677433329033. The reversal of 677433328992 is 299823334776.

677433328992 is a `hidden beast` number, since 6 + 7 + 7 + 433 + 32 + 89 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 417909942 + ... + 417911562.

Almost surely, 2^677433328992 is an apocalyptic number.

677433328992 is a gapful number since it is divisible by the number (62) 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 677433328992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1177496635392).

677433328992 is an abundant number, since it is smaller than the sum of its proper divisors (1677559941792).

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

677433328992 is a wasteful number, since it uses less digits than its factorization.

677433328992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2424 (or 2407 counting only the distinct ones).

The product of its digits is 82301184, while the sum is 63.

The spelling of 677433328992 in words is "six hundred seventy-seven billion, four hundred thirty-three million, three hundred twenty-eight thousand, nine hundred ninety-two".