5191409664 has 336 divisors, whose sum is σ = 17929555200. Its totient is φ = 1480163328.

The previous prime is 5191409659. The next prime is 5191409681. The reversal of 5191409664 is 4669041915.

It is a happy number.

5191409664 is a `hidden beast` number, since 519 + 1 + 40 + 96 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10837777 + ... + 10838255.

Almost surely, 2^5191409664 is an apocalyptic number.

5191409664 is a gapful number since it is divisible by the number (54) 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 5191409664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8964777600).

5191409664 is an abundant number, since it is smaller than the sum of its proper divisors (12738145536).

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

5191409664 is an equidigital number, since it uses as much as digits as its factorization.

5191409664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 5191409664 is about 72051.4376261848. The cubic root of 5191409664 is about 1731.5236739673.

The spelling of 5191409664 in words is "five billion, one hundred ninety-one million, four hundred nine thousand, six hundred sixty-four".