677692378440 has 256 divisors, whose sum is σ = 2816384256000. Its totient is φ = 140819178240.

The previous prime is 677692378421. The next prime is 677692378457. The reversal of 677692378440 is 44873296776.

It is a happy number.

677692378440 is a `hidden beast` number, since 6 + 7 + 76 + 92 + 37 + 8 + 440 = 666.

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

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 63 ways as a sum of consecutive naturals, for example, 3991470 + ... + 4157789.

It is an arithmetic number, because the mean of its divisors is an integer number (11001501000).

Almost surely, 2^677692378440 is an apocalyptic number.

677692378440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

677692378440 is an abundant number, since it is smaller than the sum of its proper divisors (2138691877560).

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

677692378440 is a wasteful number, since it uses less digits than its factorization.

677692378440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8149297 (or 8149287 counting only the distinct ones).

The product of its (nonzero) digits is 85349376, while the sum is 63.

The spelling of 677692378440 in words is "six hundred seventy-seven billion, six hundred ninety-two million, three hundred seventy-eight thousand, four hundred forty".