9164953440 has 192 divisors, whose sum is σ = 32123044800. Its totient is φ = 2440507392.

The previous prime is 9164953439. The next prime is 9164953459. The reversal of 9164953440 is 443594619.

9164953440 is a `hidden beast` number, since 91 + 6 + 495 + 34 + 40 = 666.

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 31 ways as a sum of consecutive naturals, for example, 4789924 + ... + 4791836.

It is an arithmetic number, because the mean of its divisors is an integer number (167307525).

Almost surely, 2^9164953440 is an apocalyptic number.

9164953440 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 9164953440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16061522400).

9164953440 is an abundant number, since it is smaller than the sum of its proper divisors (22958091360).

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

9164953440 is a wasteful number, since it uses less digits than its factorization.

9164953440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3046 (or 3032 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 9164953440 is about 95733.7633230826. The cubic root of 9164953440 is about 2092.7150021240.

The spelling of 9164953440 in words is "nine billion, one hundred sixty-four million, nine hundred fifty-three thousand, four hundred forty".