86784366362400 has 4320 divisors, whose sum is σ = 421603868125440. Its totient is φ = 17201417748480.

The previous prime is 86784366362357. The next prime is 86784366362401. The reversal of 86784366362400 is 426366348768.

86784366362400 is a `hidden beast` number, since 8 + 6 + 7 + 84 + 36 + 63 + 62 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

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

It is not an unprimeable number, because it can be changed into a prime (86784366362401) by changing a digit.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 37946814057 + ... + 37946816343.

It is an arithmetic number, because the mean of its divisors is an integer number (97593487992).

Almost surely, 2^{86784366362400} is an apocalyptic number.

86784366362400 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 86784366362400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210801934062720).

86784366362400 is an abundant number, since it is smaller than the sum of its proper divisors (334819501763040).

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

86784366362400 is a wasteful number, since it uses less digits than its factorization.

86784366362400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2406 (or 2377 counting only the distinct ones).

The product of its (nonzero) digits is 167215104, while the sum is 63.

The spelling of 86784366362400 in words is "eighty-six trillion, seven hundred eighty-four billion, three hundred sixty-six million, three hundred sixty-two thousand, four hundred".