9857574720 has 224 divisors, whose sum is σ = 39743481600. Its totient is φ = 2253146112.

The previous prime is 9857574709. The next prime is 9857574721. The reversal of 9857574720 is 274757589.

It is a happy number.

9857574720 is a `hidden beast` number, since 9 + 8 + 575 + 7 + 47 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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 (9857574721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21015 + ... + 141974.

Almost surely, 2^9857574720 is an apocalyptic number.

9857574720 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 9857574720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19871740800).

9857574720 is an abundant number, since it is smaller than the sum of its proper divisors (29885906880).

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

9857574720 is a wasteful number, since it uses less digits than its factorization.

9857574720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163022 (or 163006 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 54.

The square root of 9857574720 is about 99285.3197607783. The cubic root of 9857574720 is about 2144.1575448573.

The spelling of 9857574720 in words is "nine billion, eight hundred fifty-seven million, five hundred seventy-four thousand, seven hundred twenty".