806946416640 has 960 divisors, whose sum is σ = 3560143466880. Its totient is φ = 170240901120.

The previous prime is 806946416599. The next prime is 806946416677. The reversal of 806946416640 is 46614649608.

It is a happy number.

806946416640 is a `hidden beast` number, since 80 + 6 + 9 + 464 + 1 + 66 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 79 ways as a sum of consecutive naturals, for example, 75473695 + ... + 75484385.

It is an arithmetic number, because the mean of its divisors is an integer number (3708482778).

Almost surely, 2^806946416640 is an apocalyptic number.

806946416640 is a gapful number since it is divisible by the number (80) 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 806946416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1780071733440).

806946416640 is an abundant number, since it is smaller than the sum of its proper divisors (2753197050240).

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

806946416640 is a wasteful number, since it uses less digits than its factorization.

806946416640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10750 (or 10721 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 806946416640 in words is "eight hundred six billion, nine hundred forty-six million, four hundred sixteen thousand, six hundred forty".