8037823680 has 168 divisors, whose sum is σ = 28321491744. Its totient is φ = 2091110400.

The previous prime is 8037823643. The next prime is 8037823681. The reversal of 8037823680 is 863287308.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (8037823681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84045 + ... + 152115.

It is an arithmetic number, because the mean of its divisors is an integer number (168580308).

Almost surely, 2^8037823680 is an apocalyptic number.

8037823680 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 8037823680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14160745872).

8037823680 is an abundant number, since it is smaller than the sum of its proper divisors (20283668064).

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

8037823680 is a wasteful number, since it uses less digits than its factorization.

8037823680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68135 (or 68122 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 8037823680 is about 89653.9105672474. The cubic root of 8037823680 is about 2003.1470188722.

The spelling of 8037823680 in words is "eight billion, thirty-seven million, eight hundred twenty-three thousand, six hundred eighty".