6492510720 has 640 divisors, whose sum is σ = 24748416000. Its totient is φ = 1610219520.

The previous prime is 6492510707. The next prime is 6492510727. The reversal of 6492510720 is 270152946.

6492510720 is a `hidden beast` number, since 649 + 2 + 5 + 1 + 0 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6492510727) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82183641 + ... + 82183719.

It is an arithmetic number, because the mean of its divisors is an integer number (38669400).

Almost surely, 2^6492510720 is an apocalyptic number.

6492510720 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 6492510720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12374208000).

6492510720 is an abundant number, since it is smaller than the sum of its proper divisors (18255905280).

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

6492510720 is a wasteful number, since it uses less digits than its factorization.

6492510720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 6492510720 is about 80576.1175535282. The cubic root of 6492510720 is about 1865.5385383026.

The spelling of 6492510720 in words is "six billion, four hundred ninety-two million, five hundred ten thousand, seven hundred twenty".