8432670000 has 400 divisors, whose sum is σ = 28616239872. Its totient is φ = 2136960000.

The previous prime is 8432669983. The next prime is 8432670007. The reversal of 8432670000 is 762348.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×8432670000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 8432670000.

It is not an unprimeable number, because it can be changed into a prime (8432670007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 78809947 + ... + 78810053.

Almost surely, 2^8432670000 is an apocalyptic number.

8432670000 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 8432670000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14308119936).

8432670000 is an abundant number, since it is smaller than the sum of its proper divisors (20183569872).

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

8432670000 is a wasteful number, since it uses less digits than its factorization.

8432670000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 8432670000 is about 91829.5704008246. The cubic root of 8432670000 is about 2035.4246749769.

The spelling of 8432670000 in words is "eight billion, four hundred thirty-two million, six hundred seventy thousand".