9727349940 has 480 divisors, whose sum is σ = 39371270400. Its totient is φ = 1950842880.

The previous prime is 9727349927. The next prime is 9727349941. The reversal of 9727349940 is 499437279.

It is a happy number.

9727349940 is a `hidden beast` number, since 97 + 27 + 3 + 499 + 40 = 666.

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 (9727349941) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3616116 + ... + 3618804.

It is an arithmetic number, because the mean of its divisors is an integer number (82023480).

Almost surely, 2^9727349940 is an apocalyptic number.

9727349940 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 9727349940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19685635200).

9727349940 is an abundant number, since it is smaller than the sum of its proper divisors (29643920460).

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

9727349940 is a wasteful number, since it uses less digits than its factorization.

9727349940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2757 (or 2746 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The square root of 9727349940 is about 98627.3285656668. The cubic root of 9727349940 is about 2134.6737679958.

The spelling of 9727349940 in words is "nine billion, seven hundred twenty-seven million, three hundred forty-nine thousand, nine hundred forty".