5791264416 has 288 divisors, whose sum is σ = 19317916800. Its totient is φ = 1611601920.

The previous prime is 5791264393. The next prime is 5791264459. The reversal of 5791264416 is 6144621975.

5791264416 is a `hidden beast` number, since 579 + 1 + 2 + 64 + 4 + 16 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21528730 + ... + 21528998.

It is an arithmetic number, because the mean of its divisors is an integer number (67076100).

Almost surely, 2^5791264416 is an apocalyptic number.

5791264416 is a gapful number since it is divisible by the number (56) 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 5791264416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9658958400).

5791264416 is an abundant number, since it is smaller than the sum of its proper divisors (13526652384).

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

5791264416 is a wasteful number, since it uses less digits than its factorization.

5791264416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 521 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 5791264416 is about 76100.3575287265. The cubic root of 5791264416 is about 1795.7993006585.

The spelling of 5791264416 in words is "five billion, seven hundred ninety-one million, two hundred sixty-four thousand, four hundred sixteen".