5764667040 has 288 divisors, whose sum is σ = 21535113600. Its totient is φ = 1392629760.

The previous prime is 5764666991. The next prime is 5764667063. The reversal of 5764667040 is 407664675.

It is a happy number.

5764667040 is a `hidden beast` number, since 576 + 4 + 6 + 6 + 70 + 4 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 6953346 + ... + 6954174.

It is an arithmetic number, because the mean of its divisors is an integer number (74774700).

Almost surely, 2^5764667040 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 5764667040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10767556800).

5764667040 is an abundant number, since it is smaller than the sum of its proper divisors (15770446560).

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

5764667040 is a wasteful number, since it uses less digits than its factorization.

5764667040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 5764667040 is about 75925.4044440989. The cubic root of 5764667040 is about 1793.0459090160.

The spelling of 5764667040 in words is "five billion, seven hundred sixty-four million, six hundred sixty-seven thousand, forty".