5667287040 has 416 divisors, whose sum is σ = 20767133760. Its totient is φ = 1465122816.

The previous prime is 5667287029. The next prime is 5667287047. The reversal of 5667287040 is 407827665.

5667287040 is a `hidden beast` number, since 566 + 7 + 2 + 87 + 0 + 4 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5667287047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20459382 + ... + 20459658.

Almost surely, 2^5667287040 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 5667287040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10383566880).

5667287040 is an abundant number, since it is smaller than the sum of its proper divisors (15099846720).

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

5667287040 is a wasteful number, since it uses less digits than its factorization.

5667287040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 5667287040 is about 75281.3857470756. The cubic root of 5667287040 is about 1782.8921379437.

The spelling of 5667287040 in words is "five billion, six hundred sixty-seven million, two hundred eighty-seven thousand, forty".