82060047720 has 768 divisors, whose sum is σ = 329951232000. Its totient is φ = 17273088000.

The previous prime is 82060047697. The next prime is 82060047721. The reversal of 82060047720 is 2774006028.

82060047720 is a `hidden beast` number, since 8 + 2 + 0 + 600 + 47 + 7 + 2 + 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 (82060047721) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 343347361 + ... + 343347599.

It is an arithmetic number, because the mean of its divisors is an integer number (429624000).

Almost surely, 2^82060047720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82060047720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164975616000).

82060047720 is an abundant number, since it is smaller than the sum of its proper divisors (247891184280).

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

82060047720 is a wasteful number, since it uses less digits than its factorization.

82060047720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 82060047720 in words is "eighty-two billion, sixty million, forty-seven thousand, seven hundred twenty".