7993169664480 has 1296 divisors, whose sum is σ = 37482671785104. Its totient is φ = 1533130260480.

The previous prime is 7993169664421. The next prime is 7993169664497. The reversal of 7993169664480 is 844669613997.

7993169664480 is a `hidden beast` number, since 7 + 9 + 93 + 1 + 6 + 96 + 6 + 448 + 0 = 666.

It is a super-2 number, since 2×7993169664480² (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 junction number, because it is equal to n+sod(n) for n = 7993169664399 and 7993169664408.

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 215 ways as a sum of consecutive naturals, for example, 131140572 + ... + 131201508.

It is an arithmetic number, because the mean of its divisors is an integer number (28921814649).

Almost surely, 2^{7993169664480} is an apocalyptic number.

7993169664480 is a gapful number since it is divisible by the number (70) 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 7993169664480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18741335892552).

7993169664480 is an abundant number, since it is smaller than the sum of its proper divisors (29489502120624).

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

7993169664480 is a wasteful number, since it uses less digits than its factorization.

7993169664480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61009 (or 60978 counting only the distinct ones).

The product of its (nonzero) digits is 423263232, while the sum is 72.

The spelling of 7993169664480 in words is "seven trillion, nine hundred ninety-three billion, one hundred sixty-nine million, six hundred sixty-four thousand, four hundred eighty".