82097064000 has 784 divisors, whose sum is σ = 348551089536. Its totient is φ = 18755712000.

The previous prime is 82097063963. The next prime is 82097064001. The reversal of 82097064000 is 46079028.

82097064000 is a `hidden beast` number, since 8 + 2 + 0 + 9 + 7 + 0 + 640 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (82097064001) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 40822995 + ... + 40825005.

Almost surely, 2^82097064000 is an apocalyptic number.

82097064000 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 82097064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174275544768).

82097064000 is an abundant number, since it is smaller than the sum of its proper divisors (266454025536).

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

82097064000 is an equidigital number, since it uses as much as digits as its factorization.

82097064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2063 (or 2028 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 82097064000 in words is "eighty-two billion, ninety-seven million, sixty-four thousand".