9472772736 has 192 divisors, whose sum is σ = 31530582720. Its totient is φ = 2673709056.

The previous prime is 9472772731. The next prime is 9472772767. The reversal of 9472772736 is 6372772749.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (9472772731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 662236 + ... + 676388.

It is an arithmetic number, because the mean of its divisors is an integer number (164221785).

Almost surely, 2^9472772736 is an apocalyptic number.

9472772736 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 9472772736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15765291360).

9472772736 is an abundant number, since it is smaller than the sum of its proper divisors (22057809984).

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

9472772736 is a wasteful number, since it uses less digits than its factorization.

9472772736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14263 (or 14248 counting only the distinct ones).

The product of its digits is 6223392, while the sum is 54.

The square root of 9472772736 is about 97328.1703105529. The cubic root of 9472772736 is about 2115.8865247185.

The spelling of 9472772736 in words is "nine billion, four hundred seventy-two million, seven hundred seventy-two thousand, seven hundred thirty-six".