81364877846320 has 80 divisors (see below), whose sum is σ = 190528769217600. Its totient is φ = 32312956032000.

The previous prime is 81364877846279. The next prime is 81364877846339. The reversal of 81364877846320 is 2364877846318.

81364877846320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24937645 + ... + 28010995.

It is an arithmetic number, because the mean of its divisors is an integer number (2381609615220).

Almost surely, 2^{81364877846320} is an apocalyptic number.

81364877846320 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 81364877846320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95264384608800).

81364877846320 is an abundant number, since it is smaller than the sum of its proper divisors (109163891371280).

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

81364877846320 is a wasteful number, since it uses less digits than its factorization.

81364877846320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3075734 (or 3075728 counting only the distinct ones).

The product of its (nonzero) digits is 260112384, while the sum is 67.

The spelling of 81364877846320 in words is "eighty-one trillion, three hundred sixty-four billion, eight hundred seventy-seven million, eight hundred forty-six thousand, three hundred twenty".