7480333765872 has 320 divisors, whose sum is σ = 24452669214720. Its totient is φ = 2167237036800.

The previous prime is 7480333765823. The next prime is 7480333765889. The reversal of 7480333765872 is 2785673330847.

It is a happy number.

7480333765872 is a `hidden beast` number, since 7 + 48 + 0 + 3 + 3 + 3 + 7 + 6 + 587 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 263498463 + ... + 263526849.

It is an arithmetic number, because the mean of its divisors is an integer number (76414591296).

Almost surely, 2^{7480333765872} is an apocalyptic number.

7480333765872 is a gapful number since it is divisible by the number (72) 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 7480333765872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12226334607360).

7480333765872 is an abundant number, since it is smaller than the sum of its proper divisors (16972335448848).

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

7480333765872 is a wasteful number, since it uses less digits than its factorization.

7480333765872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30849 (or 30837 counting only the distinct ones).

The product of its (nonzero) digits is 142248960, while the sum is 63.

The spelling of 7480333765872 in words is "seven trillion, four hundred eighty billion, three hundred thirty-three million, seven hundred sixty-five thousand, eight hundred seventy-two".