677971590351 has 32 divisors (see below), whose sum is σ = 988161638400. Its totient is φ = 410050274400.

The previous prime is 677971590343. The next prime is 677971590367. The reversal of 677971590351 is 153095179776.

It is not a de Polignac number, because 677971590351 - 2³ = 677971590343 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677971590251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72559986 + ... + 72569328.

It is an arithmetic number, because the mean of its divisors is an integer number (30880051200).

Almost surely, 2^677971590351 is an apocalyptic number.

677971590351 is a deficient number, since it is larger than the sum of its proper divisors (310190048049).

677971590351 is a wasteful number, since it uses less digits than its factorization.

677971590351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13627.

The product of its (nonzero) digits is 12502350, while the sum is 60.

The spelling of 677971590351 in words is "six hundred seventy-seven billion, nine hundred seventy-one million, five hundred ninety thousand, three hundred fifty-one".