82218864640 has 416 divisors, whose sum is σ = 226993185792. Its totient is φ = 28311552000.

The previous prime is 82218864599. The next prime is 82218864647. The reversal of 82218864640 is 4646881228.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82218864647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 426004384 + ... + 426004576.

Almost surely, 2^82218864640 is an apocalyptic number.

82218864640 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 82218864640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113496592896).

82218864640 is an abundant number, since it is smaller than the sum of its proper divisors (144774321152).

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

82218864640 is a wasteful number, since it uses less digits than its factorization.

82218864640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 49.

The spelling of 82218864640 in words is "eighty-two billion, two hundred eighteen million, eight hundred sixty-four thousand, six hundred forty".