7944248553696 has 432 divisors, whose sum is σ = 28310203984608. Its totient is φ = 2094533683200.

The previous prime is 7944248553679. The next prime is 7944248553721. The reversal of 7944248553696 is 6963558424497.

7944248553696 is a `hidden beast` number, since 7 + 9 + 4 + 4 + 2 + 4 + 8 + 553 + 69 + 6 = 666.

It is a super-2 number, since 2×7944248553696² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 965157901 + ... + 965166131.

It is an arithmetic number, because the mean of its divisors is an integer number (65532879594).

Almost surely, 2^{7944248553696} 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 7944248553696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14155101992304).

7944248553696 is an abundant number, since it is smaller than the sum of its proper divisors (20365955430912).

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

7944248553696 is a wasteful number, since it uses less digits than its factorization.

7944248553696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13535 (or 13517 counting only the distinct ones).

The product of its digits is 1567641600, while the sum is 72.

The spelling of 7944248553696 in words is "seven trillion, nine hundred forty-four billion, two hundred forty-eight million, five hundred fifty-three thousand, six hundred ninety-six".