9950605920 has 768 divisors, whose sum is σ = 39661332480. Its totient is φ = 2316238848.

The previous prime is 9950605901. The next prime is 9950605933. The reversal of 9950605920 is 295060599.

9950605920 = T₁₁₉₈₄ + T₁₁₉₈₅ + ... + T₁₂₁₂₀.

9950605920 is a `hidden beast` number, since 9 + 9 + 50 + 6 + 0 + 592 + 0 = 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 127 ways as a sum of consecutive naturals, for example, 72632092 + ... + 72632228.

It is an arithmetic number, because the mean of its divisors is an integer number (51642360).

Almost surely, 2^9950605920 is an apocalyptic number.

9950605920 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 9950605920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19830666240).

9950605920 is an abundant number, since it is smaller than the sum of its proper divisors (29710726560).

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

9950605920 is a wasteful number, since it uses less digits than its factorization.

9950605920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 45.

The square root of 9950605920 is about 99752.7238725841. The cubic root of 9950605920 is about 2150.8816229309.

The spelling of 9950605920 in words is "nine billion, nine hundred fifty million, six hundred five thousand, nine hundred twenty".