8003727728640 has 1120 divisors, whose sum is σ = 33852963032064. Its totient is φ = 1770250567680.

The previous prime is 8003727728627. The next prime is 8003727728641. The reversal of 8003727728640 is 468277273008.

It is a tau number, because it is divible by the number of its divisors (1120).

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

It is not an unprimeable number, because it can be changed into a prime (8003727728641) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 719948362 + ... + 719959478.

Almost surely, 2^{8003727728640} is an apocalyptic number.

8003727728640 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 8003727728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16926481516032).

8003727728640 is an abundant number, since it is smaller than the sum of its proper divisors (25849235303424).

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

8003727728640 is a wasteful number, since it uses less digits than its factorization.

8003727728640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11198 (or 11165 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 8003727728640 in words is "eight trillion, three billion, seven hundred twenty-seven million, seven hundred twenty-eight thousand, six hundred forty".