7724912664 has 128 divisors (see below), whose sum is σ = 23593006080. Its totient is φ = 2059622400.

The previous prime is 7724912603. The next prime is 7724912749. The reversal of 7724912664 is 4662194277.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134044 + ... + 182804.

It is an arithmetic number, because the mean of its divisors is an integer number (184320360).

Almost surely, 2^7724912664 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 7724912664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11796503040).

7724912664 is an abundant number, since it is smaller than the sum of its proper divisors (15868093416).

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

7724912664 is a wasteful number, since it uses less digits than its factorization.

7724912664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48841 (or 48837 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 48.

The square root of 7724912664 is about 87891.4823176854. The cubic root of 7724912664 is about 1976.8081642088.

The spelling of 7724912664 in words is "seven billion, seven hundred twenty-four million, nine hundred twelve thousand, six hundred sixty-four".