5458677840 has 360 divisors, whose sum is σ = 23031275904. Its totient is φ = 1134144000.

The previous prime is 5458677799. The next prime is 5458677869. The reversal of 5458677840 is 487768545.

5458677840 is a `hidden beast` number, since 54 + 586 + 7 + 7 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 605365 + ... + 614315.

Almost surely, 2^5458677840 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 5458677840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11515637952).

5458677840 is an abundant number, since it is smaller than the sum of its proper divisors (17572598064).

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

5458677840 is a wasteful number, since it uses less digits than its factorization.

5458677840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8999 (or 8979 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The square root of 5458677840 is about 73882.8656726308. The cubic root of 5458677840 is about 1760.7423951356.

The spelling of 5458677840 in words is "five billion, four hundred fifty-eight million, six hundred seventy-seven thousand, eight hundred forty".