82196674560 has 2016 divisors, whose sum is σ = 400032228960. Its totient is φ = 15765995520.

The previous prime is 82196674559. The next prime is 82196674589. The reversal of 82196674560 is 6547669128.

82196674560 is a `hidden beast` number, since 8 + 2 + 1 + 9 + 6 + 6 + 74 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 82196674497 and 82196674506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 6322821114 + ... + 6322821126.

It is an arithmetic number, because the mean of its divisors is an integer number (198428685).

Almost surely, 2^82196674560 is an apocalyptic number.

82196674560 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 82196674560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200016114480).

82196674560 is an abundant number, since it is smaller than the sum of its proper divisors (317835554400).

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

82196674560 is a wasteful number, since it uses less digits than its factorization.

82196674560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 82196674560 in words is "eighty-two billion, one hundred ninety-six million, six hundred seventy-four thousand, five hundred sixty".