78047114664960 has 4224 divisors, whose sum is σ = 354055513190400. Its totient is φ = 15929494732800.

The previous prime is 78047114664943. The next prime is 78047114664973. The reversal of 78047114664960 is 6946641174087.

78047114664960 is a `hidden beast` number, since 7 + 8 + 0 + 4 + 71 + 1 + 466 + 49 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 876933872596 + ... + 876933872684.

Almost surely, 2^{78047114664960} is an apocalyptic number.

78047114664960 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78047114664960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177027756595200).

78047114664960 is an abundant number, since it is smaller than the sum of its proper divisors (276008398525440).

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

78047114664960 is a wasteful number, since it uses less digits than its factorization.

78047114664960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 78047114664960 in words is "seventy-eight trillion, forty-seven billion, one hundred fourteen million, six hundred sixty-four thousand, nine hundred sixty".