82740001371360 has 384 divisors, whose sum is σ = 271819504180224. Its totient is φ = 21136327557120.

The previous prime is 82740001371319. The next prime is 82740001371367. The reversal of 82740001371360 is 6317310004728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82740001371367) 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, 740234197 + ... + 740345963.

It is an arithmetic number, because the mean of its divisors is an integer number (707863292136).

Almost surely, 2^{82740001371360} is an apocalyptic number.

82740001371360 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 82740001371360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135909752090112).

82740001371360 is an abundant number, since it is smaller than the sum of its proper divisors (189079502808864).

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

82740001371360 is a wasteful number, since it uses less digits than its factorization.

82740001371360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112466 (or 112458 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The spelling of 82740001371360 in words is "eighty-two trillion, seven hundred forty billion, one million, three hundred seventy-one thousand, three hundred sixty".