9947931840 has 896 divisors, whose sum is σ = 46115020800. Its totient is φ = 1955819520.

The previous prime is 9947931839. The next prime is 9947931853. The reversal of 9947931840 is 481397499.

9947931840 is a `hidden beast` number, since 99 + 479 + 3 + 1 + 84 + 0 = 666.

It is a super-2 number, since 2×9947931840² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12639927 + ... + 12640713.

Almost surely, 2^9947931840 is an apocalyptic number.

9947931840 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 9947931840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23057510400).

9947931840 is an abundant number, since it is smaller than the sum of its proper divisors (36167088960).

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

9947931840 is a wasteful number, since it uses less digits than its factorization.

9947931840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 9947931840 is about 99739.3194281974. The cubic root of 9947931840 is about 2150.6889329957.

The spelling of 9947931840 in words is "nine billion, nine hundred forty-seven million, nine hundred thirty-one thousand, eight hundred forty".