8372829365040 has 320 divisors, whose sum is σ = 30634073579520. Its totient is φ = 1851241512960.

The previous prime is 8372829365039. The next prime is 8372829365059. The reversal of 8372829365040 is 405639282738.

It is a super-2 number, since 2×8372829365040² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 122718456 + ... + 122786664.

It is an arithmetic number, because the mean of its divisors is an integer number (95731479936).

Almost surely, 2^{8372829365040} is an apocalyptic number.

8372829365040 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 8372829365040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15317036789760).

8372829365040 is an abundant number, since it is smaller than the sum of its proper divisors (22261244214480).

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

8372829365040 is a wasteful number, since it uses less digits than its factorization.

8372829365040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70620 (or 70614 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 57.

The spelling of 8372829365040 in words is "eight trillion, three hundred seventy-two billion, eight hundred twenty-nine million, three hundred sixty-five thousand, forty".