82046804664000 has 896 divisors, whose sum is σ = 298280606367744. Its totient is φ = 19706641920000.

The previous prime is 82046804663881. The next prime is 82046804664001. The reversal of 82046804664000 is 46640864028.

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

It is not an unprimeable number, because it can be changed into a prime (82046804664001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36579046879 + ... + 36579049121.

It is an arithmetic number, because the mean of its divisors is an integer number (332902462464).

Almost surely, 2^{82046804664000} is an apocalyptic number.

82046804664000 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 82046804664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149140303183872).

82046804664000 is an abundant number, since it is smaller than the sum of its proper divisors (216233801703744).

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

82046804664000 is a wasteful number, since it uses less digits than its factorization.

82046804664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3502 (or 3482 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 48.

The spelling of 82046804664000 in words is "eighty-two trillion, forty-six billion, eight hundred four million, six hundred sixty-four thousand".