761983468677 has 112 divisors (see below), whose sum is σ = 1239858627840. Its totient is φ = 466318135296.

The previous prime is 761983468663. The next prime is 761983468693. The reversal of 761983468677 is 776864389167.

It is a happy number.

761983468677 is a `hidden beast` number, since 7 + 6 + 1 + 98 + 3 + 468 + 6 + 77 = 666.

It is not a de Polignac number, because 761983468677 - 2¹⁸ = 761983206533 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (761983468607) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 81256213 + ... + 81265589.

It is an arithmetic number, because the mean of its divisors is an integer number (11070166320).

Almost surely, 2^761983468677 is an apocalyptic number.

It is an amenable number.

761983468677 is a deficient number, since it is larger than the sum of its proper divisors (477875159163).

761983468677 is an equidigital number, since it uses as much as digits as its factorization.

761983468677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9574 (or 9559 counting only the distinct ones).

The product of its digits is 512096256, while the sum is 72.

The spelling of 761983468677 in words is "seven hundred sixty-one billion, nine hundred eighty-three million, four hundred sixty-eight thousand, six hundred seventy-seven".