5677439040 has 1120 divisors, whose sum is σ = 26023092480. Its totient is φ = 1142636544.

The previous prime is 5677438997. The next prime is 5677439143. The reversal of 5677439040 is 409347765.

5677439040 is a `hidden beast` number, since 567 + 7 + 43 + 9 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-2 number, since 2×5677439040² = 64466628105832243200, which contains 22 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 68402839 + ... + 68402921.

It is an arithmetic number, because the mean of its divisors is an integer number (23234904).

Almost surely, 2^5677439040 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 5677439040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13011546240).

5677439040 is an abundant number, since it is smaller than the sum of its proper divisors (20345653440).

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

5677439040 is a wasteful number, since it uses less digits than its factorization.

5677439040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 5677439040 is about 75348.7826046314. The cubic root of 5677439040 is about 1783.9560875864.

The spelling of 5677439040 in words is "five billion, six hundred seventy-seven million, four hundred thirty-nine thousand, forty".