6724128826800 has 1920 divisors, whose sum is σ = 31945669632000. Its totient is φ = 1301067878400.

The previous prime is 6724128826769. The next prime is 6724128826813. The reversal of 6724128826800 is 86288214276.

6724128826800 is a `hidden beast` number, since 6 + 72 + 412 + 8 + 82 + 6 + 80 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 932219994 + ... + 932227206.

It is an arithmetic number, because the mean of its divisors is an integer number (16638369600).

Almost surely, 2^{6724128826800} is an apocalyptic number.

6724128826800 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 6724128826800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15972834816000).

6724128826800 is an abundant number, since it is smaller than the sum of its proper divisors (25221540805200).

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

6724128826800 is a wasteful number, since it uses less digits than its factorization.

6724128826800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7336 (or 7319 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 6724128826800 in words is "six trillion, seven hundred twenty-four billion, one hundred twenty-eight million, eight hundred twenty-six thousand, eight hundred".