9749938464 has 1152 divisors, whose sum is σ = 39713587200. Its totient is φ = 2299207680.

The previous prime is 9749938439. The next prime is 9749938469. The reversal of 9749938464 is 4648399479.

9749938464 is a `hidden beast` number, since 9 + 7 + 499 + 3 + 84 + 64 = 666.

It is a super-2 number, since 2×9749938464² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9749938469) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 314514129 + ... + 314514159.

It is an arithmetic number, because the mean of its divisors is an integer number (34473600).

Almost surely, 2^9749938464 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 9749938464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19856793600).

9749938464 is an abundant number, since it is smaller than the sum of its proper divisors (29963648736).

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

9749938464 is a wasteful number, since it uses less digits than its factorization.

9749938464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 102 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 63.

The square root of 9749938464 is about 98741.7766905174. The cubic root of 9749938464 is about 2136.3248464408.

The spelling of 9749938464 in words is "nine billion, seven hundred forty-nine million, nine hundred thirty-eight thousand, four hundred sixty-four".