7896798604800 has 3240 divisors, whose sum is σ = 36289549965240. Its totient is φ = 1693052928000.

The previous prime is 7896798604763. The next prime is 7896798604811. The reversal of 7896798604800 is 84068976987.

7896798604800 is a `hidden beast` number, since 7 + 8 + 9 + 6 + 7 + 9 + 8 + 604 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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 323 ways as a sum of consecutive naturals, for example, 78186124750 + ... + 78186124850.

Almost surely, 2^{7896798604800} is an apocalyptic number.

7896798604800 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 7896798604800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18144774982620).

7896798604800 is an abundant number, since it is smaller than the sum of its proper divisors (28392751360440).

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

7896798604800 is an equidigital number, since it uses as much as digits as its factorization.

7896798604800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 72.

The spelling of 7896798604800 in words is "seven trillion, eight hundred ninety-six billion, seven hundred ninety-eight million, six hundred four thousand, eight hundred".