6504942900 has 144 divisors (see below), whose sum is σ = 20226580416. Its totient is φ = 1608161280.

The previous prime is 6504942893. The next prime is 6504942901. The reversal of 6504942900 is 92494056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6504942901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 332182 + ... + 351218.

It is an arithmetic number, because the mean of its divisors is an integer number (140462364).

Almost surely, 2^6504942900 is an apocalyptic number.

6504942900 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 6504942900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10113290208).

6504942900 is an abundant number, since it is smaller than the sum of its proper divisors (13721637516).

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

6504942900 is a wasteful number, since it uses less digits than its factorization.

6504942900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19138 (or 19131 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 6504942900 is about 80653.2262218939. The cubic root of 6504942900 is about 1866.7285208387.

The spelling of 6504942900 in words is "six billion, five hundred four million, nine hundred forty-two thousand, nine hundred".