6499506624 has 224 divisors, whose sum is σ = 20127528960. Its totient is φ = 1833062400.

The previous prime is 6499506619. The next prime is 6499506701. The reversal of 6499506624 is 4266059946.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1467934 + ... + 1472354.

It is an arithmetic number, because the mean of its divisors is an integer number (89855040).

Almost surely, 2^6499506624 is an apocalyptic number.

6499506624 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 6499506624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10063764480).

6499506624 is an abundant number, since it is smaller than the sum of its proper divisors (13628022336).

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

6499506624 is a wasteful number, since it uses less digits than its factorization.

6499506624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4499 (or 4489 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 51.

The square root of 6499506624 is about 80619.5176368601. The cubic root of 6499506624 is about 1866.2083584594.

The spelling of 6499506624 in words is "six billion, four hundred ninety-nine million, five hundred six thousand, six hundred twenty-four".