9612465408 has 648 divisors, whose sum is σ = 36284172288. Its totient is φ = 2382815232.

The previous prime is 9612465349. The next prime is 9612465409. The reversal of 9612465408 is 8045642169.

9612465408 is a `hidden beast` number, since 9 + 61 + 2 + 46 + 540 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9612465409) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 75688641 + ... + 75688767.

Almost surely, 2^9612465408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9612465408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18142086144).

9612465408 is an abundant number, since it is smaller than the sum of its proper divisors (26671706880).

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

9612465408 is a wasteful number, since it uses less digits than its factorization.

9612465408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 9612465408 is about 98043.1813437324. The cubic root of 9612465408 is about 2126.2366344302.

The spelling of 9612465408 in words is "nine billion, six hundred twelve million, four hundred sixty-five thousand, four hundred eight".