7846446895560 has 1344 divisors, whose sum is σ = 34387104890880. Its totient is φ = 1568190274560.

The previous prime is 7846446895543. The next prime is 7846446895571. The reversal of 7846446895560 is 655986446487.

It is a happy number.

7846446895560 is a `hidden beast` number, since 7 + 8 + 4 + 6 + 4 + 4 + 68 + 9 + 556 + 0 = 666.

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

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 335 ways as a sum of consecutive naturals, for example, 957931065 + ... + 957939255.

It is an arithmetic number, because the mean of its divisors is an integer number (25585643520).

Almost surely, 2^{7846446895560} is an apocalyptic number.

7846446895560 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 7846446895560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17193552445440).

7846446895560 is an abundant number, since it is smaller than the sum of its proper divisors (26540657995320).

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

7846446895560 is a wasteful number, since it uses less digits than its factorization.

7846446895560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8278 (or 8240 counting only the distinct ones).

The product of its (nonzero) digits is 1393459200, while the sum is 72.

The spelling of 7846446895560 in words is "seven trillion, eight hundred forty-six billion, four hundred forty-six million, eight hundred ninety-five thousand, five hundred sixty".