7633471104 has 640 divisors, whose sum is σ = 28791417600. Its totient is φ = 1956151296.

The previous prime is 7633471099. The next prime is 7633471169. The reversal of 7633471104 is 4011743367.

7633471104 is a `hidden beast` number, since 7 + 633 + 4 + 7 + 1 + 10 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28377082 + ... + 28377350.

It is an arithmetic number, because the mean of its divisors is an integer number (44986590).

Almost surely, 2^7633471104 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 7633471104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14395708800).

7633471104 is an abundant number, since it is smaller than the sum of its proper divisors (21157946496).

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

7633471104 is a wasteful number, since it uses less digits than its factorization.

7633471104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 7633471104 is about 87369.7379188012. The cubic root of 7633471104 is about 1968.9772065398.

The spelling of 7633471104 in words is "seven billion, six hundred thirty-three million, four hundred seventy-one thousand, one hundred four".