6493662720 has 480 divisors, whose sum is σ = 24302060640. Its totient is φ = 1596456960.

The previous prime is 6493662719. The next prime is 6493662733. The reversal of 6493662720 is 272663946.

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

It is a super-2 number, since 2×6493662720² = 84335311042235596800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23108980 + ... + 23109260.

It is an arithmetic number, because the mean of its divisors is an integer number (50629293).

Almost surely, 2^6493662720 is an apocalyptic number.

6493662720 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 6493662720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12151030320).

6493662720 is an abundant number, since it is smaller than the sum of its proper divisors (17808397920).

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

6493662720 is a wasteful number, since it uses less digits than its factorization.

6493662720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 6493662720 is about 80583.2657566073. The cubic root of 6493662720 is about 1865.6488691844.

The spelling of 6493662720 in words is "six billion, four hundred ninety-three million, six hundred sixty-two thousand, seven hundred twenty".