82064018400 has 1728 divisors, whose sum is σ = 375329977344. Its totient is φ = 15084748800.

The previous prime is 82064018353. The next prime is 82064018461. The reversal of 82064018400 is 481046028.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2647226385 + ... + 2647226415.

It is an arithmetic number, because the mean of its divisors is an integer number (217204848).

Almost surely, 2^82064018400 is an apocalyptic number.

82064018400 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 82064018400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187664988672).

82064018400 is an abundant number, since it is smaller than the sum of its proper divisors (293265958944).

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

82064018400 is a wasteful number, since it uses less digits than its factorization.

82064018400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The spelling of 82064018400 in words is "eighty-two billion, sixty-four million, eighteen thousand, four hundred".