7672329344628 has 288 divisors, whose sum is σ = 22830262640640. Its totient is φ = 2151351394560.

The previous prime is 7672329344573. The next prime is 7672329344651. The reversal of 7672329344628 is 8264439232767.

7672329344628 is a `hidden beast` number, since 7 + 6 + 72 + 32 + 93 + 446 + 2 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45950551 + ... + 46117217.

It is an arithmetic number, because the mean of its divisors is an integer number (79271745280).

Almost surely, 2^{7672329344628} is an apocalyptic number.

7672329344628 is a gapful number since it is divisible by the number (78) 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 7672329344628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11415131320320).

7672329344628 is an abundant number, since it is smaller than the sum of its proper divisors (15157933296012).

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

7672329344628 is a wasteful number, since it uses less digits than its factorization.

7672329344628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166907 (or 166902 counting only the distinct ones).

The product of its digits is 146313216, while the sum is 63.

The spelling of 7672329344628 in words is "seven trillion, six hundred seventy-two billion, three hundred twenty-nine million, three hundred forty-four thousand, six hundred twenty-eight".