6756809400 has 504 divisors, whose sum is σ = 25957088640. Its totient is φ = 1633737600.

The previous prime is 6756809399. The next prime is 6756809417. The reversal of 6756809400 is 49086576.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 17641609 + ... + 17641991.

It is an arithmetic number, because the mean of its divisors is an integer number (51502160).

Almost surely, 2^6756809400 is an apocalyptic number.

6756809400 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 6756809400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12978544320).

6756809400 is an abundant number, since it is smaller than the sum of its proper divisors (19200279240).

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

6756809400 is a wasteful number, since it uses less digits than its factorization.

6756809400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 6756809400 is about 82199.8138684024. The cubic root of 6756809400 is about 1890.5168654407.

The spelling of 6756809400 in words is "six billion, seven hundred fifty-six million, eight hundred nine thousand, four hundred".