7013381760000 has 3300 divisors, whose sum is σ = 33343477309296. Its totient is φ = 1451520000000.

The previous prime is 7013381759981. The next prime is 7013381760013. The reversal of 7013381760000 is 671833107.

7013381760000 is a `hidden beast` number, since 7 + 0 + 1 + 3 + 38 + 17 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3300).

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

It is an unprimeable number.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 27941759875 + ... + 27941760125.

Almost surely, 2^{7013381760000} is an apocalyptic number.

7013381760000 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 7013381760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16671738654648).

7013381760000 is an abundant number, since it is smaller than the sum of its proper divisors (26330095549296).

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

7013381760000 is a wasteful number, since it uses less digits than its factorization.

7013381760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 7013381760000 in words is "seven trillion, thirteen billion, three hundred eighty-one million, seven hundred sixty thousand".