78965703170640 has 1920 divisors, whose sum is σ = 341231279800320. Its totient is φ = 16071461683200.

The previous prime is 78965703170639. The next prime is 78965703170657. The reversal of 78965703170640 is 4607130756987.

78965703170640 is a `hidden beast` number, since 7 + 8 + 9 + 6 + 570 + 3 + 17 + 0 + 6 + 40 = 666.

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, 7701711754 + ... + 7701722006.

It is an arithmetic number, because the mean of its divisors is an integer number (177724624896).

Almost surely, 2^{78965703170640} 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 78965703170640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170615639900160).

78965703170640 is an abundant number, since it is smaller than the sum of its proper divisors (262265576629680).

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

78965703170640 is a wasteful number, since it uses less digits than its factorization.

78965703170640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10473 (or 10464 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 63.

The spelling of 78965703170640 in words is "seventy-eight trillion, nine hundred sixty-five billion, seven hundred three million, one hundred seventy thousand, six hundred forty".