9950653440 has 1056 divisors, whose sum is σ = 44692724160. Its totient is φ = 2080899072.

The previous prime is 9950653429. The next prime is 9950653463. The reversal of 9950653440 is 443560599.

9950653440 is a `hidden beast` number, since 99 + 506 + 53 + 4 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 88058824 + ... + 88058936.

Almost surely, 2^9950653440 is an apocalyptic number.

9950653440 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 9950653440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22346362080).

9950653440 is an abundant number, since it is smaller than the sum of its proper divisors (34742070720).

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

9950653440 is a wasteful number, since it uses less digits than its factorization.

9950653440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 9950653440 is about 99752.9620612842. The cubic root of 9950653440 is about 2150.8850468340.

The spelling of 9950653440 in words is "nine billion, nine hundred fifty million, six hundred fifty-three thousand, four hundred forty".