8738073991680 has 640 divisors, whose sum is σ = 30878311090176. Its totient is φ = 2090409984000.

The previous prime is 8738073991663. The next prime is 8738073991681. The reversal of 8738073991680 is 861993708378.

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

It is not an unprimeable number, because it can be changed into a prime (8738073991681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2002765179 + ... + 2002769541.

Almost surely, 2^{8738073991680} is an apocalyptic number.

8738073991680 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 8738073991680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15439155545088).

8738073991680 is an abundant number, since it is smaller than the sum of its proper divisors (22140237098496).

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

8738073991680 is a wasteful number, since it uses less digits than its factorization.

8738073991680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4708 (or 4692 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 69.

The spelling of 8738073991680 in words is "eight trillion, seven hundred thirty-eight billion, seventy-three million, nine hundred ninety-one thousand, six hundred eighty".