7851873744000 has 1536 divisors, whose sum is σ = 33477806718720. Its totient is φ = 1738506240000.

The previous prime is 7851873743999. The next prime is 7851873744037. The reversal of 7851873744000 is 4473781587.

7851873744000 is a `hidden beast` number, since 78 + 51 + 87 + 3 + 7 + 440 + 0 + 0 = 666.

It is a super-3 number, since 3×7851873744000³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1997422035 + ... + 1997425965.

Almost surely, 2^{7851873744000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7851873744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16738903359360).

7851873744000 is an abundant number, since it is smaller than the sum of its proper divisors (25625932974720).

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

7851873744000 is a wasteful number, since it uses less digits than its factorization.

7851873744000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4087 (or 4062 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 7851873744000 in words is "seven trillion, eight hundred fifty-one billion, eight hundred seventy-three million, seven hundred forty-four thousand".