8916738000 has 640 divisors, whose sum is σ = 33092167680. Its totient is φ = 2051481600.

The previous prime is 8916737939. The next prime is 8916738001. The reversal of 8916738000 is 8376198.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8916738001) 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, 83333947 + ... + 83334053.

It is an arithmetic number, because the mean of its divisors is an integer number (51706512).

Almost surely, 2^8916738000 is an apocalyptic number.

8916738000 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 8916738000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16546083840).

8916738000 is an abundant number, since it is smaller than the sum of its proper divisors (24175429680).

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

8916738000 is a wasteful number, since it uses less digits than its factorization.

8916738000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 8916738000 is about 94428.4808730925. The cubic root of 8916738000 is about 2073.6494235417.

The spelling of 8916738000 in words is "eight billion, nine hundred sixteen million, seven hundred thirty-eight thousand".