78909574464 has 448 divisors, whose sum is σ = 275993067520. Its totient is φ = 21633454080.

The previous prime is 78909574439. The next prime is 78909574477. The reversal of 78909574464 is 46447590987.

78909574464 is a `hidden beast` number, since 7 + 89 + 0 + 95 + 7 + 4 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47621124 + ... + 47622780.

Almost surely, 2^78909574464 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 78909574464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137996533760).

78909574464 is an abundant number, since it is smaller than the sum of its proper divisors (197083493056).

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

78909574464 is a wasteful number, since it uses less digits than its factorization.

78909574464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1843 (or 1827 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 78909574464 in words is "seventy-eight billion, nine hundred nine million, five hundred seventy-four thousand, four hundred sixty-four".