9500641920 has 768 divisors, whose sum is σ = 42282639360. Its totient is φ = 1907712000.

The previous prime is 9500641883. The next prime is 9500641933. The reversal of 9500641920 is 291460059.

9500641920 is a `hidden beast` number, since 9 + 5 + 0 + 0 + 641 + 9 + 2 + 0 = 666.

It is a super-2 number, since 2×9500641920² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13748775 + ... + 13749465.

It is an arithmetic number, because the mean of its divisors is an integer number (55055520).

Almost surely, 2^9500641920 is an apocalyptic number.

9500641920 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 9500641920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21141319680).

9500641920 is an abundant number, since it is smaller than the sum of its proper divisors (32781997440).

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

9500641920 is a wasteful number, since it uses less digits than its factorization.

9500641920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 9500641920 is about 97471.2363725833. The cubic root of 9500641920 is about 2117.9594938579.

The spelling of 9500641920 in words is "nine billion, five hundred million, six hundred forty-one thousand, nine hundred twenty".