9754374240 has 576 divisors, whose sum is σ = 39121427520. Its totient is φ = 2256076800.

The previous prime is 9754374229. The next prime is 9754374293. The reversal of 9754374240 is 424734579.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16229940 + ... + 16230540.

It is an arithmetic number, because the mean of its divisors is an integer number (67919145).

Almost surely, 2^9754374240 is an apocalyptic number.

9754374240 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 9754374240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19560713760).

9754374240 is an abundant number, since it is smaller than the sum of its proper divisors (29367053280).

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

9754374240 is a wasteful number, since it uses less digits than its factorization.

9754374240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 9754374240 is about 98764.2356321356. The cubic root of 9754374240 is about 2136.6487740154.

The spelling of 9754374240 in words is "nine billion, seven hundred fifty-four million, three hundred seventy-four thousand, two hundred forty".