8023449762432 has 512 divisors, whose sum is σ = 25776074016000. Its totient is φ = 2442284089344.

The previous prime is 8023449762407. The next prime is 8023449762467. The reversal of 8023449762432 is 2342679443208.

8023449762432 is a `hidden beast` number, since 8 + 0 + 2 + 3 + 4 + 4 + 9 + 7 + 624 + 3 + 2 = 666.

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

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, 6253662463 + ... + 6253663745.

Almost surely, 2^{8023449762432} 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 8023449762432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12888037008000).

8023449762432 is an abundant number, since it is smaller than the sum of its proper divisors (17752624253568).

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

8023449762432 is a wasteful number, since it uses less digits than its factorization.

8023449762432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2705 (or 2687 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 8023449762432 in words is "eight trillion, twenty-three billion, four hundred forty-nine million, seven hundred sixty-two thousand, four hundred thirty-two".