82732646400 has 276 divisors, whose sum is σ = 274609438752. Its totient is φ = 21978152960.

The previous prime is 82732646383. The next prime is 82732646401. The reversal of 82732646400 is 464623728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82732646401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 314572669 + ... + 314572931.

Almost surely, 2^82732646400 is an apocalyptic number.

82732646400 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 82732646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137304719376).

82732646400 is an abundant number, since it is smaller than the sum of its proper divisors (191876792352).

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

82732646400 is an frugal number, since it uses more digits than its factorization.

82732646400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 82732646400 in words is "eighty-two billion, seven hundred thirty-two million, six hundred forty-six thousand, four hundred".