7992143380800 has 840 divisors, whose sum is σ = 30374224353792. Its totient is φ = 2059126272000.

The previous prime is 7992143380799. The next prime is 7992143380817. The reversal of 7992143380800 is 80833412997.

7992143380800 is a `hidden beast` number, since 7 + 99 + 214 + 338 + 0 + 8 + 0 + 0 = 666.

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 119 ways as a sum of consecutive naturals, for example, 3298448389 + ... + 3298450811.

Almost surely, 2^{7992143380800} 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 7992143380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15187112176896).

7992143380800 is an abundant number, since it is smaller than the sum of its proper divisors (22382080972992).

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

7992143380800 is a wasteful number, since it uses less digits than its factorization.

7992143380800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3309 (or 3285 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 7992143380800 in words is "seven trillion, nine hundred ninety-two billion, one hundred forty-three million, three hundred eighty thousand, eight hundred".