82622464000 has 120 divisors (see below), whose sum is σ = 206224488288. Its totient is φ = 33048166400.

The previous prime is 82622463991. The next prime is 82622464019. The reversal of 82622464000 is 46422628.

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, 2027829 + ... + 2068171.

Almost surely, 2^82622464000 is an apocalyptic number.

82622464000 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 82622464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103112244144).

82622464000 is an abundant number, since it is smaller than the sum of its proper divisors (123602024288).

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

82622464000 is an frugal number, since it uses more digits than its factorization.

82622464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40386 (or 40350 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

Adding to 82622464000 its reverse (46422628), we get a palindrome (82668886628).

The spelling of 82622464000 in words is "eighty-two billion, six hundred twenty-two million, four hundred sixty-four thousand".