78638376960 has 1728 divisors, whose sum is σ = 353517877440. Its totient is φ = 16562257920.

The previous prime is 78638376953. The next prime is 78638376967. The reversal of 78638376960 is 6967383687.

It is an interprime number because it is at equal distance from previous prime (78638376953) and next prime (78638376967).

It is a tau number, because it is divible by the number of its divisors (1728).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78638376967) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4625786872 + ... + 4625786888.

It is an arithmetic number, because the mean of its divisors is an integer number (204582105).

Almost surely, 2^78638376960 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 78638376960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176758938720).

78638376960 is an abundant number, since it is smaller than the sum of its proper divisors (274879500480).

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

78638376960 is a wasteful number, since it uses less digits than its factorization.

78638376960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 78638376960 in words is "seventy-eight billion, six hundred thirty-eight million, three hundred seventy-six thousand, nine hundred sixty".