6504792979200 has 432 divisors, whose sum is σ = 21643443230976. Its totient is φ = 1720406016000.

The previous prime is 6504792979169. The next prime is 6504792979241. The reversal of 6504792979200 is 29792974056.

It is a super-2 number, since 2×6504792979200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

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, 2397637044 + ... + 2397639756.

Almost surely, 2^{6504792979200} is an apocalyptic number.

6504792979200 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 6504792979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10821721615488).

6504792979200 is an abundant number, since it is smaller than the sum of its proper divisors (15138650251776).

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

6504792979200 is a wasteful number, since it uses less digits than its factorization.

6504792979200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3720 (or 3701 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 60.

The spelling of 6504792979200 in words is "six trillion, five hundred four billion, seven hundred ninety-two million, nine hundred seventy-nine thousand, two hundred".