5761599984 has 240 divisors, whose sum is σ = 19729848320. Its totient is φ = 1592835840.

The previous prime is 5761599959. The next prime is 5761600021. The reversal of 5761599984 is 4899951675.

5761599984 is a `hidden beast` number, since 5 + 7 + 615 + 9 + 9 + 9 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 840282 + ... + 847110.

Almost surely, 2^5761599984 is an apocalyptic number.

5761599984 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 5761599984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9864924160).

5761599984 is an abundant number, since it is smaller than the sum of its proper divisors (13968248336).

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

5761599984 is a wasteful number, since it uses less digits than its factorization.

5761599984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6890 (or 6872 counting only the distinct ones).

The product of its digits is 24494400, while the sum is 63.

The square root of 5761599984 is about 75905.2039322733. The cubic root of 5761599984 is about 1792.7278595510.

The spelling of 5761599984 in words is "five billion, seven hundred sixty-one million, five hundred ninety-nine thousand, nine hundred eighty-four".