7673720832 has 312 divisors, whose sum is σ = 23388777984. Its totient is φ = 2421522432.

The previous prime is 7673720809. The next prime is 7673720837. The reversal of 7673720832 is 2380273767.

It is not an unprimeable number, because it can be changed into a prime (7673720837) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74502093 + ... + 74502195.

It is an arithmetic number, because the mean of its divisors is an integer number (74964032).

Almost surely, 2^7673720832 is an apocalyptic number.

7673720832 is a gapful number since it is divisible by the number (72) 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 7673720832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11694388992).

7673720832 is an abundant number, since it is smaller than the sum of its proper divisors (15715057152).

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

7673720832 is a wasteful number, since it uses less digits than its factorization.

7673720832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The square root of 7673720832 is about 87599.7764380709. The cubic root of 7673720832 is about 1972.4318128587.

The spelling of 7673720832 in words is "seven billion, six hundred seventy-three million, seven hundred twenty thousand, eight hundred thirty-two".