6504879830400 has 1296 divisors, whose sum is σ = 28041924973140. Its totient is φ = 1486594529280.

The previous prime is 6504879830369. The next prime is 6504879830429. The reversal of 6504879830400 is 40389784056.

6504879830400 is a `hidden beast` number, since 6 + 5 + 0 + 487 + 98 + 30 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-3 number, since 3×6504879830400³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 1028761639 + ... + 1028767961.

Almost surely, 2^{6504879830400} is an apocalyptic number.

6504879830400 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 6504879830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14020962486570).

6504879830400 is an abundant number, since it is smaller than the sum of its proper divisors (21537045142740).

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

6504879830400 is an frugal number, since it uses more digits than its factorization.

6504879830400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6385 (or 6340 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 6504879830400 in words is "six trillion, five hundred four billion, eight hundred seventy-nine million, eight hundred thirty thousand, four hundred".