8132899840 has 352 divisors, whose sum is σ = 22697136000. Its totient is φ = 2770993152.

The previous prime is 8132899823. The next prime is 8132899849. The reversal of 8132899840 is 489982318.

It is a super-2 number, since 2×8132899840² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8132899849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74613706 + ... + 74613814.

It is an arithmetic number, because the mean of its divisors is an integer number (64480500).

Almost surely, 2^8132899840 is an apocalyptic number.

8132899840 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 8132899840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11348568000).

8132899840 is an abundant number, since it is smaller than the sum of its proper divisors (14564236160).

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

8132899840 is a wasteful number, since it uses less digits than its factorization.

8132899840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 52.

The square root of 8132899840 is about 90182.5916682372. The cubic root of 8132899840 is about 2011.0142188113.

The spelling of 8132899840 in words is "eight billion, one hundred thirty-two million, eight hundred ninety-nine thousand, eight hundred forty".