9665951040 has 168 divisors, whose sum is σ = 34145783880. Its totient is φ = 2507894784.

The previous prime is 9665951027. The next prime is 9665951107. The reversal of 9665951040 is 401595669.

It is a happy number.

9665951040 is a `hidden beast` number, since 9 + 6 + 6 + 595 + 10 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4734540864 + 4931410176 = 68808^2 + 70224^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61206 + ... + 151914.

Almost surely, 2^9665951040 is an apocalyptic number.

9665951040 is a gapful number since it is divisible by the number (90) 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 9665951040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17072891940).

9665951040 is an abundant number, since it is smaller than the sum of its proper divisors (24479832840).

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

9665951040 is a wasteful number, since it uses less digits than its factorization.

9665951040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90769 (or 90756 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 9665951040 is about 98315.5686552237. The cubic root of 9665951040 is about 2130.1729410595.

The spelling of 9665951040 in words is "nine billion, six hundred sixty-five million, nine hundred fifty-one thousand, forty".