5900300640 has 288 divisors, whose sum is σ = 22043339136. Its totient is φ = 1428295680.

The previous prime is 5900300573. The next prime is 5900300671. The reversal of 5900300640 is 460030095.

It is a happy number.

5900300640 is a `hidden beast` number, since 590 + 0 + 30 + 0 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1139337 + ... + 1144503.

It is an arithmetic number, because the mean of its divisors is an integer number (76539372).

Almost surely, 2^5900300640 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 5900300640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11021669568).

5900300640 is an abundant number, since it is smaller than the sum of its proper divisors (16143038496).

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

5900300640 is a wasteful number, since it uses less digits than its factorization.

5900300640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5262 (or 5251 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 5900300640 is about 76813.4144534664. The cubic root of 5900300640 is about 1806.9995607276. Note that the first 3 decimals are identical.

The spelling of 5900300640 in words is "five billion, nine hundred million, three hundred thousand, six hundred forty".