82640001628560 has 40 divisors (see below), whose sum is σ = 256184005049280. Its totient is φ = 22037333767552.

The previous prime is 82640001628523. The next prime is 82640001628589. The reversal of 82640001628560 is 6582610004628.

82640001628560 is digitally balanced in base 5, 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 (40).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 172166669820 + ... + 172166670299.

It is an arithmetic number, because the mean of its divisors is an integer number (6404600126232).

Almost surely, 2^{82640001628560} is an apocalyptic number.

82640001628560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82640001628560 is an abundant number, since it is smaller than the sum of its proper divisors (173544003420720).

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

82640001628560 is a wasteful number, since it uses less digits than its factorization.

82640001628560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344333340135 (or 344333340129 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 82640001628560 in words is "eighty-two trillion, six hundred forty billion, one million, six hundred twenty-eight thousand, five hundred sixty".