6504492960 has 288 divisors, whose sum is σ = 25572298752. Its totient is φ = 1474744320.

The previous prime is 6504492941. The next prime is 6504492983. The reversal of 6504492960 is 692944056.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×6504492960³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1277620 + ... + 1282700.

It is an arithmetic number, because the mean of its divisors is an integer number (88792704).

Almost surely, 2^6504492960 is an apocalyptic number.

6504492960 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 6504492960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12786149376).

6504492960 is an abundant number, since it is smaller than the sum of its proper divisors (19067805792).

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

6504492960 is a wasteful number, since it uses less digits than its factorization.

6504492960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5236 (or 5225 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 6504492960 is about 80650.4368246075. The cubic root of 6504492960 is about 1866.6854799691.

The spelling of 6504492960 in words is "six billion, five hundred four million, four hundred ninety-two thousand, nine hundred sixty".