7864648416 has 288 divisors, whose sum is σ = 24681646080. Its totient is φ = 2365977600.

The previous prime is 7864648403. The next prime is 7864648423. The reversal of 7864648416 is 6148464687.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 12043546 + ... + 12044198.

It is an arithmetic number, because the mean of its divisors is an integer number (85700160).

Almost surely, 2^7864648416 is an apocalyptic number.

7864648416 is a gapful number since it is divisible by the number (76) 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 7864648416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12340823040).

7864648416 is an abundant number, since it is smaller than the sum of its proper divisors (16816997664).

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

7864648416 is a wasteful number, since it uses less digits than its factorization.

7864648416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 779 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The square root of 7864648416 is about 88682.8529987618. The cubic root of 7864648416 is about 1988.6564853064.

The spelling of 7864648416 in words is "seven billion, eight hundred sixty-four million, six hundred forty-eight thousand, four hundred sixteen".