6957728400 has 480 divisors, whose sum is σ = 26348313600. Its totient is φ = 1536768000.

The previous prime is 6957728377. The next prime is 6957728411. The reversal of 6957728400 is 48277596.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6957728400.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50055531 + ... + 50055669.

It is an arithmetic number, because the mean of its divisors is an integer number (54892320).

Almost surely, 2^6957728400 is an apocalyptic number.

6957728400 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 6957728400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13174156800).

6957728400 is an abundant number, since it is smaller than the sum of its proper divisors (19390585200).

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

6957728400 is a wasteful number, since it uses less digits than its factorization.

6957728400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The square root of 6957728400 is about 83412.9989869685. The cubic root of 6957728400 is about 1909.0728027143.

The spelling of 6957728400 in words is "six billion, nine hundred fifty-seven million, seven hundred twenty-eight thousand, four hundred".