86767368480 has 1152 divisors, whose sum is σ = 349505694720. Its totient is φ = 20185251840.

The previous prime is 86767368397. The next prime is 86767368491. The reversal of 86767368480 is 8486376768.

86767368480 is a `hidden beast` number, since 8 + 67 + 67 + 36 + 8 + 480 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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, 1098321081 + ... + 1098321159.

It is an arithmetic number, because the mean of its divisors is an integer number (303390360).

Almost surely, 2^86767368480 is an apocalyptic number.

86767368480 is a gapful number since it is divisible by the number (80) 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 86767368480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174752847360).

86767368480 is an abundant number, since it is smaller than the sum of its proper divisors (262738326240).

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

86767368480 is a wasteful number, since it uses less digits than its factorization.

86767368480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 86767368480 in words is "eighty-six billion, seven hundred sixty-seven million, three hundred sixty-eight thousand, four hundred eighty".