5519782464 has 224 divisors, whose sum is σ = 17033296896. Its totient is φ = 1545123840.

The previous prime is 5519782453. The next prime is 5519782487. The reversal of 5519782464 is 4642879155.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×5519782464² = 60935996899763822592, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18838702 + ... + 18838994.

It is an arithmetic number, because the mean of its divisors is an integer number (76041504).

Almost surely, 2^5519782464 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 5519782464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8516648448).

5519782464 is an abundant number, since it is smaller than the sum of its proper divisors (11513514432).

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

5519782464 is a wasteful number, since it uses less digits than its factorization.

5519782464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 543 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 51.

The square root of 5519782464 is about 74295.2385015352. The cubic root of 5519782464 is about 1767.2879683662.

The spelling of 5519782464 in words is "five billion, five hundred nineteen million, seven hundred eighty-two thousand, four hundred sixty-four".