5790302640 has 120 divisors (see below), whose sum is σ = 19466544240. Its totient is φ = 1542431232.

The previous prime is 5790302633. The next prime is 5790302701. The reversal of 5790302640 is 462030975.

5790302640 is a `hidden beast` number, since 5 + 7 + 9 + 0 + 3 + 0 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×5790302640³ (a number of 30 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 5790302595 and 5790302604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 765919 + ... + 773441.

It is an arithmetic number, because the mean of its divisors is an integer number (162221202).

Almost surely, 2^5790302640 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 5790302640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9733272120).

5790302640 is an abundant number, since it is smaller than the sum of its proper divisors (13676241600).

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

5790302640 is a wasteful number, since it uses less digits than its factorization.

5790302640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8611 (or 8602 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 5790302640 is about 76094.0381370315. The cubic root of 5790302640 is about 1795.6998835499.

The spelling of 5790302640 in words is "five billion, seven hundred ninety million, three hundred two thousand, six hundred forty".