8212610736 has 420 divisors, whose sum is σ = 27431405736. Its totient is φ = 2380466880.

The previous prime is 8212610729. The next prime is 8212610779. The reversal of 8212610736 is 6370162128.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

8212610736 is a `hidden beast` number, since 8 + 2 + 1 + 2 + 610 + 7 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 8212610736.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 357070021 + ... + 357070043.

Almost surely, 2^8212610736 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 8212610736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13715702868).

8212610736 is an abundant number, since it is smaller than the sum of its proper divisors (19218795000).

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

8212610736 is an equidigital number, since it uses as much as digits as its factorization.

8212610736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 8212610736 is about 90623.4557716709. The cubic root of 8212610736 is about 2017.5628824667.

The spelling of 8212610736 in words is "eight billion, two hundred twelve million, six hundred ten thousand, seven hundred thirty-six".