7896126283200 has 672 divisors, whose sum is σ = 30167826278400. Its totient is φ = 2005231472640.

The previous prime is 7896126283151. The next prime is 7896126283259. The reversal of 7896126283200 is 23826216987.

7896126283200 is a `hidden beast` number, since 7 + 8 + 9 + 6 + 1 + 2 + 628 + 3 + 2 + 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 95 ways as a sum of consecutive naturals, for example, 227517049 + ... + 227551751.

Almost surely, 2^{7896126283200} 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 7896126283200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15083913139200).

7896126283200 is an abundant number, since it is smaller than the sum of its proper divisors (22271699995200).

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

7896126283200 is a wasteful number, since it uses less digits than its factorization.

7896126283200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34986 (or 34965 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 7896126283200 in words is "seven trillion, eight hundred ninety-six billion, one hundred twenty-six million, two hundred eighty-three thousand, two hundred".