6490036224 has 480 divisors, whose sum is σ = 23212949760. Its totient is φ = 1773674496.

The previous prime is 6490036187. The next prime is 6490036243. The reversal of 6490036224 is 4226300946.

6490036224 is a `hidden beast` number, since 649 + 0 + 0 + 3 + 6 + 2 + 2 + 4 = 666.

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 39 ways as a sum of consecutive naturals, for example, 282175477 + ... + 282175499.

It is an arithmetic number, because the mean of its divisors is an integer number (48360312).

Almost surely, 2^6490036224 is an apocalyptic number.

6490036224 is a gapful number since it is divisible by the number (64) 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 6490036224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11606474880).

6490036224 is an abundant number, since it is smaller than the sum of its proper divisors (16722913536).

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

6490036224 is an frugal number, since it uses more digits than its factorization.

6490036224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 6490036224 is about 80560.7610688976. The cubic root of 6490036224 is about 1865.3015034357.

It can be divided in two parts, 64900 and 36224, that added together give a square (101124 = 318²).

The spelling of 6490036224 in words is "six billion, four hundred ninety million, thirty-six thousand, two hundred twenty-four".