9378132480 has 640 divisors, whose sum is σ = 36199468800. Its totient is φ = 2293235712.

The previous prime is 9378132473. The next prime is 9378132487. The reversal of 9378132480 is 842318739.

9378132480 is a `hidden beast` number, since 9 + 37 + 8 + 132 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (9378132473) and next prime (9378132487).

It is a tau number, because it is divible by the number of its divisors (640).

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

It is not an unprimeable number, because it can be changed into a prime (9378132487) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48591264 + ... + 48591456.

It is an arithmetic number, because the mean of its divisors is an integer number (56561670).

Almost surely, 2^9378132480 is an apocalyptic number.

9378132480 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 9378132480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18099734400).

9378132480 is an abundant number, since it is smaller than the sum of its proper divisors (26821336320).

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

9378132480 is a wasteful number, since it uses less digits than its factorization.

9378132480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 9378132480 is about 96840.7583613429. The cubic root of 9378132480 is about 2108.8164847431.

The spelling of 9378132480 in words is "nine billion, three hundred seventy-eight million, one hundred thirty-two thousand, four hundred eighty".