78013958647680 has 2048 divisors, whose sum is σ = 328098428928000. Its totient is φ = 17307559526400.

The previous prime is 78013958647661. The next prime is 78013958647687. The reversal of 78013958647680 is 8674685931087.

78013958647680 is a `hidden beast` number, since 7 + 8 + 0 + 1 + 39 + 586 + 4 + 7 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 78013958647599 and 78013958647608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78013958647687) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 17543051217 + ... + 17543055663.

It is an arithmetic number, because the mean of its divisors is an integer number (160204311000).

Almost surely, 2^{78013958647680} 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 78013958647680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164049214464000).

78013958647680 is an abundant number, since it is smaller than the sum of its proper divisors (250084470280320).

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

78013958647680 is a wasteful number, since it uses less digits than its factorization.

78013958647680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4653 (or 4635 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 72.

The spelling of 78013958647680 in words is "seventy-eight trillion, thirteen billion, nine hundred fifty-eight million, six hundred forty-seven thousand, six hundred eighty".