9735353006906 has 16 divisors (see below), whose sum is σ = 14691342384000. Its totient is φ = 4838288648688.

The previous prime is 9735353006879. The next prime is 9735353006927. The reversal of 9735353006906 is 6096003535379.

9735353006906 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12050621 + ... + 12833088.

It is an arithmetic number, because the mean of its divisors is an integer number (918208899000).

Almost surely, 2^{9735353006906} is an apocalyptic number.

9735353006906 is a deficient number, since it is larger than the sum of its proper divisors (4955989377094).

9735353006906 is a wasteful number, since it uses less digits than its factorization.

9735353006906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24884893.

The product of its (nonzero) digits is 13778100, while the sum is 56.

The spelling of 9735353006906 in words is "nine trillion, seven hundred thirty-five billion, three hundred fifty-three million, six thousand, nine hundred six".