82407735936 has 320 divisors, whose sum is σ = 251676089280. Its totient is φ = 26758397952.

The previous prime is 82407735929. The next prime is 82407735967. The reversal of 82407735936 is 63953770428.

82407735936 is a `hidden beast` number, since 8 + 2 + 40 + 7 + 7 + 3 + 593 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 67381021 + ... + 67382243.

It is an arithmetic number, because the mean of its divisors is an integer number (786487779).

Almost surely, 2^82407735936 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 82407735936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125838044640).

82407735936 is an abundant number, since it is smaller than the sum of its proper divisors (169268353344).

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

82407735936 is a wasteful number, since it uses less digits than its factorization.

82407735936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 82407735936 in words is "eighty-two billion, four hundred seven million, seven hundred thirty-five thousand, nine hundred thirty-six".