7633684128 has 288 divisors, whose sum is σ = 24157030464. Its totient is φ = 2103349248.

The previous prime is 7633684111. The next prime is 7633684129. The reversal of 7633684128 is 8214863367.

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is not an unprimeable number, because it can be changed into a prime (7633684129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16703676 + ... + 16704132.

It is an arithmetic number, because the mean of its divisors is an integer number (83878578).

Almost surely, 2^7633684128 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 7633684128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12078515232).

7633684128 is an abundant number, since it is smaller than the sum of its proper divisors (16523346336).

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

7633684128 is a wasteful number, since it uses less digits than its factorization.

7633684128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 589 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 48.

The square root of 7633684128 is about 87370.9570051742. The cubic root of 7633684128 is about 1968.9955221699.

The spelling of 7633684128 in words is "seven billion, six hundred thirty-three million, six hundred eighty-four thousand, one hundred twenty-eight".