82210702464 has 768 divisors, whose sum is σ = 289135042560. Its totient is φ = 22992076800.

The previous prime is 82210702459. The next prime is 82210702481. The reversal of 82210702464 is 46420701228.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 243948504 + ... + 243948840.

It is an arithmetic number, because the mean of its divisors is an integer number (376477920).

Almost surely, 2^82210702464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82210702464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144567521280).

82210702464 is an abundant number, since it is smaller than the sum of its proper divisors (206924340096).

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

82210702464 is a wasteful number, since it uses less digits than its factorization.

82210702464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 82210702464 in words is "eighty-two billion, two hundred ten million, seven hundred two thousand, four hundred sixty-four".