78017647417920 has 2688 divisors, whose sum is σ = 334757360171520. Its totient is φ = 17255595442176.

The previous prime is 78017647417889. The next prime is 78017647417939. The reversal of 78017647417920 is 2971474671087.

78017647417920 is a `hidden beast` number, since 7 + 8 + 0 + 1 + 76 + 474 + 1 + 7 + 92 + 0 = 666.

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 383 ways as a sum of consecutive naturals, for example, 231506371992 + ... + 231506372328.

Almost surely, 2^{78017647417920} is an apocalyptic number.

78017647417920 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 78017647417920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167378680085760).

78017647417920 is an abundant number, since it is smaller than the sum of its proper divisors (256739712753600).

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

78017647417920 is a wasteful number, since it uses less digits than its factorization.

78017647417920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 33191424, while the sum is 63.

The spelling of 78017647417920 in words is "seventy-eight trillion, seventeen billion, six hundred forty-seven million, four hundred seventeen thousand, nine hundred twenty".