78837325632 has 336 divisors, whose sum is σ = 257952240000. Its totient is φ = 22820548608.

The previous prime is 78837325627. The next prime is 78837325639. The reversal of 78837325632 is 23652373887.

78837325632 is a `hidden beast` number, since 7 + 8 + 8 + 3 + 73 + 2 + 563 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78837325639) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21196669 + ... + 21200387.

It is an arithmetic number, because the mean of its divisors is an integer number (767715000).

Almost surely, 2^78837325632 is an apocalyptic number.

78837325632 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 78837325632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128976120000).

78837325632 is an abundant number, since it is smaller than the sum of its proper divisors (179114914368).

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

78837325632 is a wasteful number, since it uses less digits than its factorization.

78837325632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3918 (or 3905 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 54.

The spelling of 78837325632 in words is "seventy-eight billion, eight hundred thirty-seven million, three hundred twenty-five thousand, six hundred thirty-two".