77448358656 has 180 divisors, whose sum is σ = 231643163752. Its totient is φ = 25737191424.

The previous prime is 77448358633. The next prime is 77448358661. The reversal of 77448358656 is 65685384477.

77448358656 is a `hidden beast` number, since 7 + 7 + 4 + 48 + 3 + 586 + 5 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 77448358593 and 77448358602.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6982491 + ... + 6993573.

Almost surely, 2^77448358656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77448358656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115821581876).

77448358656 is an abundant number, since it is smaller than the sum of its proper divisors (154194805096).

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

77448358656 is a wasteful number, since it uses less digits than its factorization.

77448358656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11448 (or 11425 counting only the distinct ones).

The product of its digits is 135475200, while the sum is 63.

The spelling of 77448358656 in words is "seventy-seven billion, four hundred forty-eight million, three hundred fifty-eight thousand, six hundred fifty-six".