78619518432 has 384 divisors, whose sum is σ = 287997696000. Its totient is φ = 20733801984.

The previous prime is 78619518409. The next prime is 78619518437. The reversal of 78619518432 is 23481591687.

78619518432 is a `hidden beast` number, since 7 + 8 + 6 + 195 + 18 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78619518437) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3842373 + ... + 3862779.

It is an arithmetic number, because the mean of its divisors is an integer number (749994000).

Almost surely, 2^78619518432 is an apocalyptic number.

78619518432 is a gapful number since it is divisible by the number (72) 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 78619518432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143998848000).

78619518432 is an abundant number, since it is smaller than the sum of its proper divisors (209378177568).

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

78619518432 is a wasteful number, since it uses less digits than its factorization.

78619518432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20460 (or 20432 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 78619518432 in words is "seventy-eight billion, six hundred nineteen million, five hundred eighteen thousand, four hundred thirty-two".