8006735400 has 48 divisors (see below), whose sum is σ = 24820881600. Its totient is φ = 2135129280.

The previous prime is 8006735393. The next prime is 8006735417. The reversal of 8006735400 is 45376008.

It is a super-2 number, since 2×8006735400² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6671680 + ... + 6672879.

It is an arithmetic number, because the mean of its divisors is an integer number (517101700).

Almost surely, 2^8006735400 is an apocalyptic number.

It is an amenable number.

8006735400 is an abundant number, since it is smaller than the sum of its proper divisors (16814146200).

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

8006735400 is a wasteful number, since it uses less digits than its factorization.

8006735400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13344578 (or 13344569 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 8006735400 is about 89480.3632089186. The cubic root of 8006735400 is about 2000.5611258875.

The spelling of 8006735400 in words is "eight billion, six million, seven hundred thirty-five thousand, four hundred".