9546400820 has 48 divisors (see below), whose sum is σ = 22086521856. Its totient is φ = 3437040000.

The previous prime is 9546400819. The next prime is 9546400837. The reversal of 9546400820 is 280046459.

It is a super-2 number, since 2×9546400820² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 192596 + ... + 237035.

It is an arithmetic number, because the mean of its divisors is an integer number (460135872).

Almost surely, 2^9546400820 is an apocalyptic number.

It is an amenable number.

9546400820 is an abundant number, since it is smaller than the sum of its proper divisors (12540121036).

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

9546400820 is a wasteful number, since it uses less digits than its factorization.

9546400820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429752 (or 429750 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 9546400820 is about 97705.6846862044. The cubic root of 9546400820 is about 2121.3543633090.

The spelling of 9546400820 in words is "nine billion, five hundred forty-six million, four hundred thousand, eight hundred twenty".