6490108800 has 960 divisors, whose sum is σ = 28312548000. Its totient is φ = 1463132160.

The previous prime is 6490108777. The next prime is 6490108829. The reversal of 6490108800 is 88010946.

It is a happy number.

6490108800 is a `hidden beast` number, since 649 + 0 + 1 + 0 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 119 ways as a sum of consecutive naturals, for example, 88905564 + ... + 88905636.

Almost surely, 2^6490108800 is an apocalyptic number.

6490108800 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 6490108800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14156274000).

6490108800 is an abundant number, since it is smaller than the sum of its proper divisors (21822439200).

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

6490108800 is an equidigital number, since it uses as much as digits as its factorization.

6490108800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 6490108800 is about 80561.2115102547. The cubic root of 6490108800 is about 1865.3084564332.

The spelling of 6490108800 in words is "six billion, four hundred ninety million, one hundred eight thousand, eight hundred".