78468417187677 has 48 divisors (see below), whose sum is σ = 125152905765888. Its totient is φ = 46977646292640.

The previous prime is 78468417187613. The next prime is 78468417187759. The reversal of 78468417187677 is 77678171486487.

78468417187677 is a `hidden beast` number, since 7 + 8 + 4 + 68 + 417 + 1 + 8 + 76 + 77 = 666.

It is not a de Polignac number, because 78468417187677 - 2⁶ = 78468417187613 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 78468417187596 and 78468417187605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78468417187607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64168908 + ... + 65380314.

It is an arithmetic number, because the mean of its divisors is an integer number (2607352203456).

Almost surely, 2^{78468417187677} is an apocalyptic number.

It is an amenable number.

78468417187677 is a deficient number, since it is larger than the sum of its proper divisors (46684488578211).

78468417187677 is a wasteful number, since it uses less digits than its factorization.

78468417187677 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219390 (or 1219387 counting only the distinct ones).

The product of its digits is 4956585984, while the sum is 81.

The spelling of 78468417187677 in words is "seventy-eight trillion, four hundred sixty-eight billion, four hundred seventeen million, one hundred eighty-seven thousand, six hundred seventy-seven".