7664513472 has 672 divisors, whose sum is σ = 29099865600. Its totient is φ = 1870848000.

The previous prime is 7664513471. The next prime is 7664513477. The reversal of 7664513472 is 2743154667.

7664513472 is a `hidden beast` number, since 7 + 6 + 64 + 513 + 4 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7664513471) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 75886222 + ... + 75886322.

Almost surely, 2^7664513472 is an apocalyptic number.

7664513472 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 7664513472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14549932800).

7664513472 is an abundant number, since it is smaller than the sum of its proper divisors (21435352128).

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

7664513472 is a wasteful number, since it uses less digits than its factorization.

7664513472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 212 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The square root of 7664513472 is about 87547.2071056524. The cubic root of 7664513472 is about 1971.6426190850.

The spelling of 7664513472 in words is "seven billion, six hundred sixty-four million, five hundred thirteen thousand, four hundred seventy-two".