9438632784 has 320 divisors, whose sum is σ = 32788377600. Its totient is φ = 2542192128.

The previous prime is 9438632779. The next prime is 9438632809. The reversal of 9438632784 is 4872368349.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 9438632784.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3769677 + ... + 3772179.

It is an arithmetic number, because the mean of its divisors is an integer number (102463680).

Almost surely, 2^9438632784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9438632784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16394188800).

9438632784 is an abundant number, since it is smaller than the sum of its proper divisors (23349744816).

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

9438632784 is a wasteful number, since it uses less digits than its factorization.

9438632784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2599 (or 2587 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The square root of 9438632784 is about 97152.6262331595. The cubic root of 9438632784 is about 2113.3415740263.

The spelling of 9438632784 in words is "nine billion, four hundred thirty-eight million, six hundred thirty-two thousand, seven hundred eighty-four".