5576784000 has 256 divisors, whose sum is σ = 18605583360. Its totient is φ = 1477632000.

The previous prime is 5576783951. The next prime is 5576784047. The reversal of 5576784000 is 4876755.

It is a super-2 number, since 2×5576784000² = 62201039565312000000, 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, 10703740 + ... + 10704260.

It is an arithmetic number, because the mean of its divisors is an integer number (72678060).

Almost surely, 2^5576784000 is an apocalyptic number.

5576784000 is a gapful number since it is divisible by the number (50) 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 5576784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9302791680).

5576784000 is an abundant number, since it is smaller than the sum of its proper divisors (13028799360).

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

5576784000 is a wasteful number, since it uses less digits than its factorization.

5576784000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 42.

The square root of 5576784000 is about 74677.8682073879. The cubic root of 5576784000 is about 1773.3506069259.

The spelling of 5576784000 in words is "five billion, five hundred seventy-six million, seven hundred eighty-four thousand".