8132352000 has 192 divisors, whose sum is σ = 27060415200. Its totient is φ = 2168422400.

The previous prime is 8132351987. The next prime is 8132352043. The reversal of 8132352000 is 2532318.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×8132352000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 762706 + ... + 773294.

Almost surely, 2^8132352000 is an apocalyptic number.

8132352000 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 8132352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13530207600).

8132352000 is an abundant number, since it is smaller than the sum of its proper divisors (18928063200).

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

8132352000 is a wasteful number, since it uses less digits than its factorization.

8132352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10629 (or 10599 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 8132352000 is about 90179.5542237818. The cubic root of 8132352000 is about 2010.9690631764.

Adding to 8132352000 its reverse (2532318), we get a palindrome (8134884318).

The spelling of 8132352000 in words is "eight billion, one hundred thirty-two million, three hundred fifty-two thousand".