8083712640 has 512 divisors, whose sum is σ = 28632787200. Its totient is φ = 1932263424.

The previous prime is 8083712639. The next prime is 8083712669. The reversal of 8083712640 is 462173808.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71537224 + ... + 71537336.

Almost surely, 2^8083712640 is an apocalyptic number.

8083712640 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 8083712640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14316393600).

8083712640 is an abundant number, since it is smaller than the sum of its proper divisors (20549074560).

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

8083712640 is a wasteful number, since it uses less digits than its factorization.

8083712640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 8083712640 is about 89909.4691342352. The cubic root of 8083712640 is about 2006.9518611489.

The spelling of 8083712640 in words is "eight billion, eighty-three million, seven hundred twelve thousand, six hundred forty".