7692233472 has 576 divisors, whose sum is σ = 28844928000. Its totient is φ = 1964113920.

The previous prime is 7692233447. The next prime is 7692233489. The reversal of 7692233472 is 2743322967.

7692233472 is a `hidden beast` number, since 76 + 92 + 23 + 3 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

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, 51625654 + ... + 51625802.

It is an arithmetic number, because the mean of its divisors is an integer number (50078000).

Almost surely, 2^7692233472 is an apocalyptic number.

7692233472 is a gapful number since it is divisible by the number (72) 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 7692233472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14422464000).

7692233472 is an abundant number, since it is smaller than the sum of its proper divisors (21152694528).

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

7692233472 is a wasteful number, since it uses less digits than its factorization.

7692233472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 269 counting only the distinct ones).

The product of its digits is 762048, while the sum is 45.

The square root of 7692233472 is about 87705.3788088279. The cubic root of 7692233472 is about 1974.0166848490.

The spelling of 7692233472 in words is "seven billion, six hundred ninety-two million, two hundred thirty-three thousand, four hundred seventy-two".