8034480796032 has 256 divisors, whose sum is σ = 24483530342400. Its totient is φ = 2591162265600.

The previous prime is 8034480795989. The next prime is 8034480796037. The reversal of 8034480796032 is 2306970844308.

8034480796032 is a `hidden beast` number, since 8 + 0 + 3 + 4 + 480 + 79 + 60 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 8034480796032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8034480796037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 794622657 + ... + 794632767.

It is an arithmetic number, because the mean of its divisors is an integer number (95638790400).

Almost surely, 2^{8034480796032} 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 8034480796032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12241765171200).

8034480796032 is an abundant number, since it is smaller than the sum of its proper divisors (16449049546368).

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

8034480796032 is a wasteful number, since it uses less digits than its factorization.

8034480796032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17582 (or 17564 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 8034480796032 in words is "eight trillion, thirty-four billion, four hundred eighty million, seven hundred ninety-six thousand, thirty-two".