9005950464 has 320 divisors, whose sum is σ = 30051648000. Its totient is φ = 2336882688.

The previous prime is 9005950451. The next prime is 9005950477. The reversal of 9005950464 is 4640595009.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9005950451) and next prime (9005950477).

It is a super-2 number, since 2×9005950464² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5299887 + ... + 5301585.

It is an arithmetic number, because the mean of its divisors is an integer number (93911400).

Almost surely, 2^9005950464 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 9005950464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15025824000).

9005950464 is an abundant number, since it is smaller than the sum of its proper divisors (21045697536).

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

9005950464 is a wasteful number, since it uses less digits than its factorization.

9005950464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1773 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 9005950464 is about 94899.6863219263. The cubic root of 9005950464 is about 2080.5421466470.

The spelling of 9005950464 in words is "nine billion, five million, nine hundred fifty thousand, four hundred sixty-four".