9735466601 has 32 divisors (see below), whose sum is σ = 11812024320. Its totient is φ = 7838208000.

The previous prime is 9735466591. The next prime is 9735466621. The reversal of 9735466601 is 1066645379.

It is not a de Polignac number, because 9735466601 - 2¹⁰ = 9735465577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9735466621) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9262526 + ... + 9263576.

It is an arithmetic number, because the mean of its divisors is an integer number (369125760).

Almost surely, 2^9735466601 is an apocalyptic number.

It is an amenable number.

9735466601 is a deficient number, since it is larger than the sum of its proper divisors (2076557719).

9735466601 is a wasteful number, since it uses less digits than its factorization.

9735466601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1605.

The product of its (nonzero) digits is 816480, while the sum is 47.

The square root of 9735466601 is about 98668.4681192528. The cubic root of 9735466601 is about 2135.2673385814.

The spelling of 9735466601 in words is "nine billion, seven hundred thirty-five million, four hundred sixty-six thousand, six hundred one".