7013860323120 has 640 divisors, whose sum is σ = 27860596807680. Its totient is φ = 1588687810560.

The previous prime is 7013860323059. The next prime is 7013860323131. The reversal of 7013860323120 is 213230683107.

7013860323120 is a `hidden beast` number, since 7 + 0 + 1 + 3 + 8 + 603 + 23 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 127 ways as a sum of consecutive naturals, for example, 801854587 + ... + 801863333.

It is an arithmetic number, because the mean of its divisors is an integer number (43532182512).

Almost surely, 2^{7013860323120} is an apocalyptic number.

7013860323120 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 7013860323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13930298403840).

7013860323120 is an abundant number, since it is smaller than the sum of its proper divisors (20846736484560).

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

7013860323120 is a wasteful number, since it uses less digits than its factorization.

7013860323120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9250 (or 9238 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 7013860323120 in words is "seven trillion, thirteen billion, eight hundred sixty million, three hundred twenty-three thousand, one hundred twenty".