806542894080 has 1056 divisors, whose sum is σ = 3613714191360. Its totient is φ = 167573422080.

The previous prime is 806542893983. The next prime is 806542894141. The reversal of 806542894080 is 80498245608.

806542894080 is a `hidden beast` number, since 8 + 0 + 6 + 542 + 8 + 94 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×806542894080² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 95 ways as a sum of consecutive naturals, for example, 95796111 + ... + 95804529.

Almost surely, 2^806542894080 is an apocalyptic number.

806542894080 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 806542894080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1806857095680).

806542894080 is an abundant number, since it is smaller than the sum of its proper divisors (2807171297280).

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

806542894080 is a wasteful number, since it uses less digits than its factorization.

806542894080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8477 (or 8447 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 806542894080 in words is "eight hundred six billion, five hundred forty-two million, eight hundred ninety-four thousand, eighty".