7663144938960 has 240 divisors, whose sum is σ = 29088673473600. Its totient is φ = 1659387727872.

The previous prime is 7663144938923. The next prime is 7663144938991. The reversal of 7663144938960 is 698394413667.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 7663144938891 and 7663144938900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16924665 + ... + 17371544.

It is an arithmetic number, because the mean of its divisors is an integer number (121202806140).

Almost surely, 2^{7663144938960} is an apocalyptic number.

7663144938960 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

7663144938960 is an abundant number, since it is smaller than the sum of its proper divisors (21425528534640).

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

7663144938960 is a wasteful number, since it uses less digits than its factorization.

7663144938960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34296258 (or 34296245 counting only the distinct ones).

The product of its (nonzero) digits is 141087744, while the sum is 66.

The spelling of 7663144938960 in words is "seven trillion, six hundred sixty-three billion, one hundred forty-four million, nine hundred thirty-eight thousand, nine hundred sixty".