9731240640 has 896 divisors, whose sum is σ = 41872204800. Its totient is φ = 2096824320.

The previous prime is 9731240593. The next prime is 9731240647. The reversal of 9731240640 is 460421379.

9731240640 is a `hidden beast` number, since 9 + 7 + 3 + 1 + 2 + 4 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 9731240595 and 9731240604.

It is not an unprimeable number, because it can be changed into a prime (9731240647) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30697762 + ... + 30698078.

Almost surely, 2^9731240640 is an apocalyptic number.

9731240640 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 9731240640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20936102400).

9731240640 is an abundant number, since it is smaller than the sum of its proper divisors (32140964160).

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

9731240640 is a wasteful number, since it uses less digits than its factorization.

9731240640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 9731240640 is about 98647.0508428914. The cubic root of 9731240640 is about 2134.9583356739.

The spelling of 9731240640 in words is "nine billion, seven hundred thirty-one million, two hundred forty thousand, six hundred forty".