6492610080 has 1152 divisors, whose sum is σ = 28531077120. Its totient is φ = 1373552640.

The previous prime is 6492610073. The next prime is 6492610087. The reversal of 6492610080 is 800162946.

6492610080 is a `hidden beast` number, since 649 + 2 + 6 + 1 + 0 + 0 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6492610073) and next prime (6492610087).

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 (6492610087) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 138140617 + ... + 138140663.

It is an arithmetic number, because the mean of its divisors is an integer number (24766560).

Almost surely, 2^6492610080 is an apocalyptic number.

6492610080 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 6492610080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14265538560).

6492610080 is an abundant number, since it is smaller than the sum of its proper divisors (22038467040).

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

6492610080 is a wasteful number, since it uses less digits than its factorization.

6492610080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 6492610080 is about 80576.7341110323. The cubic root of 6492610080 is about 1865.5480548554.

The spelling of 6492610080 in words is "six billion, four hundred ninety-two million, six hundred ten thousand, eighty".