6493608000 has 560 divisors, whose sum is σ = 26235525888. Its totient is φ = 1572480000.

The previous prime is 6493607999. The next prime is 6493608001. The reversal of 6493608000 is 8063946.

6493608000 is a `hidden beast` number, since 6 + 49 + 3 + 608 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6493607999) and next prime (6493608001).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6493608001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7127545 + ... + 7128455.

Almost surely, 2^6493608000 is an apocalyptic number.

6493608000 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 6493608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13117762944).

6493608000 is an abundant number, since it is smaller than the sum of its proper divisors (19741917888).

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

6493608000 is a wasteful number, since it uses less digits than its factorization.

6493608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 6493608000 is about 80582.9262313054. The cubic root of 6493608000 is about 1865.6436287628.

The spelling of 6493608000 in words is "six billion, four hundred ninety-three million, six hundred eight thousand".