7672649984 has 72 divisors (see below), whose sum is σ = 16561698048. Its totient is φ = 3533742080.

The previous prime is 7672649953. The next prime is 7672650043. The reversal of 7672649984 is 4899462767.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 185789 + ... + 223299.

It is an arithmetic number, because the mean of its divisors is an integer number (230023584).

Almost surely, 2^7672649984 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 7672649984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8280849024).

7672649984 is an abundant number, since it is smaller than the sum of its proper divisors (8889048064).

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

7672649984 is a wasteful number, since it uses less digits than its factorization.

7672649984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37591 (or 37577 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 62.

The square root of 7672649984 is about 87593.6640631045. The cubic root of 7672649984 is about 1972.3400593289.

The spelling of 7672649984 in words is "seven billion, six hundred seventy-two million, six hundred forty-nine thousand, nine hundred eighty-four".