9493920576 has 336 divisors, whose sum is σ = 33137709696. Its totient is φ = 2638116864.

The previous prime is 9493920571. The next prime is 9493920577. The reversal of 9493920576 is 6750293949.

9493920576 is a `hidden beast` number, since 9 + 49 + 3 + 9 + 20 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9493920571) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4026790 + ... + 4029146.

It is an arithmetic number, because the mean of its divisors is an integer number (98624136).

Almost surely, 2^9493920576 is an apocalyptic number.

9493920576 is a gapful number since it is divisible by the number (96) 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 9493920576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16568854848).

9493920576 is an abundant number, since it is smaller than the sum of its proper divisors (23643789120).

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

9493920576 is a wasteful number, since it uses less digits than its factorization.

9493920576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2428 (or 2406 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The square root of 9493920576 is about 97436.7516699936. The cubic root of 9493920576 is about 2117.4599173447.

The spelling of 9493920576 in words is "nine billion, four hundred ninety-three million, nine hundred twenty thousand, five hundred seventy-six".