6775142400 has 864 divisors, whose sum is σ = 27877122000. Its totient is φ = 1610219520.

The previous prime is 6775142389. The next prime is 6775142401. The reversal of 6775142400 is 42415776.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6775142401) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 233625586 + ... + 233625614.

Almost surely, 2^6775142400 is an apocalyptic number.

6775142400 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 6775142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13938561000).

6775142400 is an abundant number, since it is smaller than the sum of its proper divisors (21101979600).

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

6775142400 is a wasteful number, since it uses less digits than its factorization.

6775142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 6775142400 is about 82311.2531796230. The cubic root of 6775142400 is about 1892.2251444337.

The spelling of 6775142400 in words is "six billion, seven hundred seventy-five million, one hundred forty-two thousand, four hundred".