8132400000 has 480 divisors, whose sum is σ = 30370946760. Its totient is φ = 2160000000.

The previous prime is 8132399987. The next prime is 8132400011. The reversal of 8132400000 is 42318.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×8132400000² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 32399875 + ... + 32400125.

Almost surely, 2^8132400000 is an apocalyptic number.

8132400000 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 8132400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15185473380).

8132400000 is an abundant number, since it is smaller than the sum of its proper divisors (22238546760).

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

8132400000 is an frugal number, since it uses more digits than its factorization.

8132400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 8132400000 is about 90179.8203591025. The cubic root of 8132400000 is about 2010.9730196507.

Adding to 8132400000 its reverse (42318), we get a palindrome (8132442318).

The spelling of 8132400000 in words is "eight billion, one hundred thirty-two million, four hundred thousand".