7481683329120 has 6144 divisors, whose sum is σ = 39797194752000. Its totient is φ = 1287556300800.

The previous prime is 7481683329097. The next prime is 7481683329163. The reversal of 7481683329120 is 219233861847.

It is a happy number.

7481683329120 is a `hidden beast` number, since 7 + 48 + 168 + 332 + 91 + 20 = 666.

It is a super-3 number, since 3×7481683329120³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 111666915327 + ... + 111666915393.

It is an arithmetic number, because the mean of its divisors is an integer number (6477408000).

Almost surely, 2^{7481683329120} is an apocalyptic number.

7481683329120 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 7481683329120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19898597376000).

7481683329120 is an abundant number, since it is smaller than the sum of its proper divisors (32315511422880).

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

7481683329120 is a wasteful number, since it uses less digits than its factorization.

7481683329120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 7481683329120 in words is "seven trillion, four hundred eighty-one billion, six hundred eighty-three million, three hundred twenty-nine thousand, one hundred twenty".