6493813200 has 480 divisors, whose sum is σ = 26969504000. Its totient is φ = 1483453440.

The previous prime is 6493813163. The next prime is 6493813223. The reversal of 6493813200 is 23183946.

6493813200 is a `hidden beast` number, since 649 + 3 + 8 + 1 + 3 + 2 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3703524 + ... + 3705276.

Almost surely, 2^6493813200 is an apocalyptic number.

6493813200 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 6493813200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13484752000).

6493813200 is an abundant number, since it is smaller than the sum of its proper divisors (20475690800).

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

6493813200 is a wasteful number, since it uses less digits than its factorization.

6493813200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1801 (or 1770 counting only the distinct ones).

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

The square root of 6493813200 is about 80584.1994438116. The cubic root of 6493813200 is about 1865.6632801923.

The spelling of 6493813200 in words is "six billion, four hundred ninety-three million, eight hundred thirteen thousand, two hundred".