7721988633120 has 192 divisors, whose sum is σ = 25118324453376. Its totient is φ = 1992024714240.

The previous prime is 7721988633113. The next prime is 7721988633127. The reversal of 7721988633120 is 213368891277.

It is an interprime number because it is at equal distance from previous prime (7721988633113) and next prime (7721988633127).

It is not an unprimeable number, because it can be changed into a prime (7721988633127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40184307 + ... + 40376013.

It is an arithmetic number, because the mean of its divisors is an integer number (130824606528).

Almost surely, 2^{7721988633120} 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 7721988633120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12559162226688).

7721988633120 is an abundant number, since it is smaller than the sum of its proper divisors (17396335820256).

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

7721988633120 is a wasteful number, since it uses less digits than its factorization.

7721988633120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194463 (or 194455 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 57.

The spelling of 7721988633120 in words is "seven trillion, seven hundred twenty-one billion, nine hundred eighty-eight million, six hundred thirty-three thousand, one hundred twenty".