6490890720 has 192 divisors, whose sum is σ = 23706224640. Its totient is φ = 1655622144.

The previous prime is 6490890691. The next prime is 6490890737. The reversal of 6490890720 is 270980946.

It is a happy number.

6490890720 is a `hidden beast` number, since 6 + 490 + 8 + 90 + 72 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66697 + ... + 132023.

It is an arithmetic number, because the mean of its divisors is an integer number (123469920).

Almost surely, 2^6490890720 is an apocalyptic number.

6490890720 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 6490890720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11853112320).

6490890720 is an abundant number, since it is smaller than the sum of its proper divisors (17215333920).

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

6490890720 is a wasteful number, since it uses less digits than its factorization.

6490890720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65374 (or 65360 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 6490890720 is about 80566.0643199108. The cubic root of 6490890720 is about 1865.3833634167.

The spelling of 6490890720 in words is "six billion, four hundred ninety million, eight hundred ninety thousand, seven hundred twenty".