8132359840 has 192 divisors, whose sum is σ = 21604060800. Its totient is φ = 2867200000.

The previous prime is 8132359831. The next prime is 8132359883. The reversal of 8132359840 is 489532318.

It is a super-2 number, since 2×8132359840² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18111936 + ... + 18112384.

It is an arithmetic number, because the mean of its divisors is an integer number (112521150).

Almost surely, 2^8132359840 is an apocalyptic number.

8132359840 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 8132359840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10802030400).

8132359840 is an abundant number, since it is smaller than the sum of its proper divisors (13471700960).

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

8132359840 is a wasteful number, since it uses less digits than its factorization.

8132359840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The square root of 8132359840 is about 90179.5976926045. The cubic root of 8132359840 is about 2010.9697094016.

The spelling of 8132359840 in words is "eight billion, one hundred thirty-two million, three hundred fifty-nine thousand, eight hundred forty".