9874537920 has 336 divisors, whose sum is σ = 36967607040. Its totient is φ = 2404712448.

The previous prime is 9874537901. The next prime is 9874537927. The reversal of 9874537920 is 297354789.

9874537920 is a `hidden beast` number, since 9 + 87 + 4 + 537 + 9 + 20 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9874537927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3630321 + ... + 3633039.

It is an arithmetic number, because the mean of its divisors is an integer number (110022640).

Almost surely, 2^9874537920 is an apocalyptic number.

9874537920 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 9874537920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18483803520).

9874537920 is an abundant number, since it is smaller than the sum of its proper divisors (27093069120).

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

9874537920 is a wasteful number, since it uses less digits than its factorization.

9874537920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2852 (or 2839 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The square root of 9874537920 is about 99370.7095677595. The cubic root of 9874537920 is about 2145.3867495052.

The spelling of 9874537920 in words is "nine billion, eight hundred seventy-four million, five hundred thirty-seven thousand, nine hundred twenty".