5846797416960 has 1120 divisors, whose sum is σ = 22271182053120. Its totient is φ = 1467312537600.

The previous prime is 5846797416937. The next prime is 5846797416997. The reversal of 5846797416960 is 696147976485.

It is a happy number.

5846797416960 is a `hidden beast` number, since 5 + 8 + 4 + 67 + 97 + 416 + 9 + 60 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 6417998905 + ... + 6417999815.

It is an arithmetic number, because the mean of its divisors is an integer number (19884983976).

Almost surely, 2^{5846797416960} 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 5846797416960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11135591026560).

5846797416960 is an abundant number, since it is smaller than the sum of its proper divisors (16424384636160).

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

5846797416960 is an equidigital number, since it uses as much as digits as its factorization.

5846797416960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 5846797416960 in words is "five trillion, eight hundred forty-six billion, seven hundred ninety-seven million, four hundred sixteen thousand, nine hundred sixty".