8071632640 has 144 divisors (see below), whose sum is σ = 21178946880. Its totient is φ = 2933719040.

The previous prime is 8071632637. The next prime is 8071632659. The reversal of 8071632640 is 462361708.

It is a super-2 number, since 2×8071632640² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8071632640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 624645 + ... + 637435.

It is an arithmetic number, because the mean of its divisors is an integer number (147076020).

Almost surely, 2^8071632640 is an apocalyptic number.

8071632640 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 8071632640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10589473440).

8071632640 is an abundant number, since it is smaller than the sum of its proper divisors (13107314240).

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

8071632640 is a wasteful number, since it uses less digits than its factorization.

8071632640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12858 (or 12844 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 8071632640 is about 89842.2653320808. The cubic root of 8071632640 is about 2005.9516579819.

The spelling of 8071632640 in words is "eight billion, seventy-one million, six hundred thirty-two thousand, six hundred forty".