82721764000 has 384 divisors, whose sum is σ = 219689293824. Its totient is φ = 30551040000.

The previous prime is 82721763991. The next prime is 82721764001. The reversal of 82721764000 is 46712728.

It is not an unprimeable number, because it can be changed into a prime (82721764001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 269451847 + ... + 269452153.

It is an arithmetic number, because the mean of its divisors is an integer number (572107536).

Almost surely, 2^82721764000 is an apocalyptic number.

82721764000 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 82721764000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109844646912).

82721764000 is an abundant number, since it is smaller than the sum of its proper divisors (136967529824).

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

82721764000 is a wasteful number, since it uses less digits than its factorization.

82721764000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 37.

The spelling of 82721764000 in words is "eighty-two billion, seven hundred twenty-one million, seven hundred sixty-four thousand".