78670964736 has 1152 divisors, whose sum is σ = 309086668800. Its totient is φ = 18685624320.

The previous prime is 78670964689. The next prime is 78670964759. The reversal of 78670964736 is 63746907687.

78670964736 is a `hidden beast` number, since 7 + 8 + 6 + 70 + 96 + 473 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 883943380 + ... + 883943468.

It is an arithmetic number, because the mean of its divisors is an integer number (268304400).

Almost surely, 2^78670964736 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 78670964736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154543334400).

78670964736 is an abundant number, since it is smaller than the sum of its proper divisors (230415704064).

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

78670964736 is a wasteful number, since it uses less digits than its factorization.

78670964736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 63.

The spelling of 78670964736 in words is "seventy-eight billion, six hundred seventy million, nine hundred sixty-four thousand, seven hundred thirty-six".