78939463680 has 1344 divisors, whose sum is σ = 357232232448. Its totient is φ = 16243752960.

The previous prime is 78939463663. The next prime is 78939463751. The reversal of 78939463680 is 8636493987.

78939463680 is a `hidden beast` number, since 7 + 8 + 93 + 9 + 463 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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, 766402509 + ... + 766402611.

It is an arithmetic number, because the mean of its divisors is an integer number (265797792).

Almost surely, 2^78939463680 is an apocalyptic number.

78939463680 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 78939463680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178616116224).

78939463680 is an abundant number, since it is smaller than the sum of its proper divisors (278292768768).

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

78939463680 is a wasteful number, since it uses less digits than its factorization.

78939463680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 78939463680 in words is "seventy-eight billion, nine hundred thirty-nine million, four hundred sixty-three thousand, six hundred eighty".