8968727040 has 640 divisors, whose sum is σ = 36264678912. Its totient is φ = 1840250880.

The previous prime is 8968727011. The next prime is 8968727083. The reversal of 8968727040 is 407278698.

It is a tau number, because it is divible by the number of its divisors (640).

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 63 ways as a sum of consecutive naturals, for example, 28653924 + ... + 28654236.

Almost surely, 2^8968727040 is an apocalyptic number.

8968727040 is a gapful number since it is divisible by the number (80) 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 8968727040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18132339456).

8968727040 is an abundant number, since it is smaller than the sum of its proper divisors (27295951872).

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

8968727040 is a wasteful number, since it uses less digits than its factorization.

8968727040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 51.

The square root of 8968727040 is about 94703.3634038412. The cubic root of 8968727040 is about 2077.6717538264.

The spelling of 8968727040 in words is "eight billion, nine hundred sixty-eight million, seven hundred twenty-seven thousand, forty".