7720015640160 has 384 divisors, whose sum is σ = 26960613765120. Its totient is φ = 1848083060736.

The previous prime is 7720015640159. The next prime is 7720015640189. The reversal of 7720015640160 is 610465100277.

It is a super-3 number, since 3×7720015640160³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 22272339 + ... + 22616301.

It is an arithmetic number, because the mean of its divisors is an integer number (70209931680).

Almost surely, 2^{7720015640160} 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 7720015640160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13480306882560).

7720015640160 is an abundant number, since it is smaller than the sum of its proper divisors (19240598124960).

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

7720015640160 is a wasteful number, since it uses less digits than its factorization.

7720015640160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344130 (or 344122 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The spelling of 7720015640160 in words is "seven trillion, seven hundred twenty billion, fifteen million, six hundred forty thousand, one hundred sixty".