8014712832 has 780 divisors, whose sum is σ = 30506396580. Its totient is φ = 2080899072.

The previous prime is 8014712807. The next prime is 8014712833. The reversal of 8014712832 is 2382174108.

It can be written as a sum of positive squares in 2 ways, for example, as 5267275776 + 2747437056 = 72576^2 + 52416^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8014712833) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 276369394 + ... + 276369422.

Almost surely, 2^8014712832 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 8014712832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15253198290).

8014712832 is an abundant number, since it is smaller than the sum of its proper divisors (22491683748).

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

8014712832 is a wasteful number, since it uses less digits than its factorization.

8014712832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 8014712832 is about 89524.9285506557. The cubic root of 8014712832 is about 2001.2253184773.

The spelling of 8014712832 in words is "eight billion, fourteen million, seven hundred twelve thousand, eight hundred thirty-two".