9132439680 has 1152 divisors, whose sum is σ = 41902660800. Its totient is φ = 1811496960.

The previous prime is 9132439633. The next prime is 9132439691. The reversal of 9132439680 is 869342319.

It is a happy number.

9132439680 is a `hidden beast` number, since 9 + 132 + 439 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 69713215 + ... + 69713345.

Almost surely, 2^9132439680 is an apocalyptic number.

9132439680 is a gapful number since it is divisible by the number (90) 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 9132439680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20951330400).

9132439680 is an abundant number, since it is smaller than the sum of its proper divisors (32770221120).

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

9132439680 is a wasteful number, since it uses less digits than its factorization.

9132439680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 9132439680 is about 95563.7990035976. The cubic root of 9132439680 is about 2090.2373516144.

The spelling of 9132439680 in words is "nine billion, one hundred thirty-two million, four hundred thirty-nine thousand, six hundred eighty".