9852377472 has 288 divisors, whose sum is σ = 34923418920. Its totient is φ = 2649120768.

The previous prime is 9852377471. The next prime is 9852377503. The reversal of 9852377472 is 2747732589.

9852377472 is a `hidden beast` number, since 9 + 8 + 523 + 77 + 47 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×9852377472² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9852377471) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 954483 + ... + 964749.

Almost surely, 2^9852377472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9852377472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17461709460).

9852377472 is an abundant number, since it is smaller than the sum of its proper divisors (25071041448).

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

9852377472 is a wasteful number, since it uses less digits than its factorization.

9852377472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10318 (or 10296 counting only the distinct ones).

The product of its digits is 5927040, while the sum is 54.

The square root of 9852377472 is about 99259.1430146362. The cubic root of 9852377472 is about 2143.7806543999.

The spelling of 9852377472 in words is "nine billion, eight hundred fifty-two million, three hundred seventy-seven thousand, four hundred seventy-two".