9737836416 has 1024 divisors, whose sum is σ = 39293337600. Its totient is φ = 2299207680.

The previous prime is 9737836397. The next prime is 9737836421. The reversal of 9737836416 is 6146387379.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

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

Its product of digits (4572288) is a multiple of the sum of its prime divisors (126).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 226461291 + ... + 226461333.

It is an arithmetic number, because the mean of its divisors is an integer number (38372400).

Almost surely, 2^9737836416 is an apocalyptic number.

9737836416 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 9737836416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19646668800).

9737836416 is an abundant number, since it is smaller than the sum of its proper divisors (29555501184).

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

9737836416 is a wasteful number, since it uses less digits than its factorization.

9737836416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 126 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The square root of 9737836416 is about 98680.4763669086. The cubic root of 9737836416 is about 2135.4405806815.

The spelling of 9737836416 in words is "nine billion, seven hundred thirty-seven million, eight hundred thirty-six thousand, four hundred sixteen".