6458991840 has 480 divisors, whose sum is σ = 26601220800. Its totient is φ = 1475324928.

The previous prime is 6458991827. The next prime is 6458991923. The reversal of 6458991840 is 481998546.

6458991840 is a `hidden beast` number, since 6 + 4 + 589 + 9 + 18 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4444554 + ... + 4446006.

It is an arithmetic number, because the mean of its divisors is an integer number (55419210).

Almost surely, 2^6458991840 is an apocalyptic number.

6458991840 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6458991840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13300610400).

6458991840 is an abundant number, since it is smaller than the sum of its proper divisors (20142228960).

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

6458991840 is a wasteful number, since it uses less digits than its factorization.

6458991840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1501 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The square root of 6458991840 is about 80367.8532748014. The cubic root of 6458991840 is about 1862.3225928344.

The spelling of 6458991840 in words is "six billion, four hundred fifty-eight million, nine hundred ninety-one thousand, eight hundred forty".