7892800794144 has 288 divisors, whose sum is σ = 25946637050880. Its totient is φ = 2229203828736.

The previous prime is 7892800794107. The next prime is 7892800794257. The reversal of 7892800794144 is 4414970082987.

7892800794144 is a `hidden beast` number, since 78 + 9 + 2 + 80 + 0 + 79 + 414 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 168737992 + ... + 168784760.

It is an arithmetic number, because the mean of its divisors is an integer number (90092489760).

Almost surely, 2^{7892800794144} 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 7892800794144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12973318525440).

7892800794144 is an abundant number, since it is smaller than the sum of its proper divisors (18053836256736).

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

7892800794144 is a wasteful number, since it uses less digits than its factorization.

7892800794144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47752 (or 47741 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 7892800794144 in words is "seven trillion, eight hundred ninety-two billion, eight hundred million, seven hundred ninety-four thousand, one hundred forty-four".