78632311680 has 1536 divisors, whose sum is σ = 336825216000. Its totient is φ = 17342595072.

The previous prime is 78632311679. The next prime is 78632311691. The reversal of 78632311680 is 8611323687.

78632311680 is a `hidden beast` number, since 7 + 8 + 632 + 3 + 1 + 1 + 6 + 8 + 0 = 666.

It is a super-3 number, since 3×78632311680³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 883509076 + ... + 883509164.

It is an arithmetic number, because the mean of its divisors is an integer number (219287250).

Almost surely, 2^78632311680 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 78632311680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168412608000).

78632311680 is an abundant number, since it is smaller than the sum of its proper divisors (258192904320).

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

78632311680 is a wasteful number, since it uses less digits than its factorization.

78632311680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 78632311680 in words is "seventy-eight billion, six hundred thirty-two million, three hundred eleven thousand, six hundred eighty".