8036682624 has 256 divisors, whose sum is σ = 25292736000. Its totient is φ = 2536220160.

The previous prime is 8036682617. The next prime is 8036682659. The reversal of 8036682624 is 4262866308.

It is a self number, because there is not a number n which added to its sum of digits gives 8036682624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5318029 + ... + 5319539.

It is an arithmetic number, because the mean of its divisors is an integer number (98799750).

Almost surely, 2^8036682624 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 8036682624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12646368000).

8036682624 is an abundant number, since it is smaller than the sum of its proper divisors (17256053376).

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

8036682624 is an equidigital number, since it uses as much as digits as its factorization.

8036682624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1565 (or 1535 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 8036682624 is about 89647.5466702798. The cubic root of 8036682624 is about 2003.0522249253.

The spelling of 8036682624 in words is "eight billion, thirty-six million, six hundred eighty-two thousand, six hundred twenty-four".