6760454400 has 972 divisors, whose sum is σ = 29931125952. Its totient is φ = 1478062080.

The previous prime is 6760454399. The next prime is 6760454417. The reversal of 6760454400 is 44540676.

6760454400 is a `hidden beast` number, since 6 + 7 + 604 + 5 + 4 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (972).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 293932789 + ... + 293932811.

Almost surely, 2^6760454400 is an apocalyptic number.

6760454400 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 6760454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14965562976).

6760454400 is an abundant number, since it is smaller than the sum of its proper divisors (23170671552).

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

6760454400 is an frugal number, since it uses more digits than its factorization.

6760454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 6760454400 is about 82221.9824621129. The cubic root of 6760454400 is about 1890.8567544238.

The spelling of 6760454400 in words is "six billion, seven hundred sixty million, four hundred fifty-four thousand, four hundred".