5840049600 has 1008 divisors, whose sum is σ = 27121835520. Its totient is φ = 1155686400.

The previous prime is 5840049581. The next prime is 5840049613. The reversal of 5840049600 is 69400485.

5840049600 is a `hidden beast` number, since 5 + 8 + 4 + 0 + 0 + 49 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 25502286 + ... + 25502514.

Almost surely, 2^5840049600 is an apocalyptic number.

5840049600 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 5840049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13560917760).

5840049600 is an abundant number, since it is smaller than the sum of its proper divisors (21281785920).

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

5840049600 is a wasteful number, since it uses less digits than its factorization.

5840049600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5840049600 is about 76420.2172203142. The cubic root of 5840049600 is about 1800.8277674237.

The spelling of 5840049600 in words is "five billion, eight hundred forty million, forty-nine thousand, six hundred".