82761743136 has 96 divisors (see below), whose sum is σ = 219049850880. Its totient is φ = 27359080704.

The previous prime is 82761743089. The next prime is 82761743137. The reversal of 82761743136 is 63134716728.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×82761743136² (a number of 23 digits) contains 22 as substring.

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 (82761743137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14715621 + ... + 14721243.

It is an arithmetic number, because the mean of its divisors is an integer number (2281769280).

Almost surely, 2^82761743136 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 82761743136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109524925440).

82761743136 is an abundant number, since it is smaller than the sum of its proper divisors (136288107744).

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

82761743136 is a wasteful number, since it uses less digits than its factorization.

82761743136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6878 (or 6870 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 48.

The spelling of 82761743136 in words is "eighty-two billion, seven hundred sixty-one million, seven hundred forty-three thousand, one hundred thirty-six".