6766610400 has 540 divisors, whose sum is σ = 27155199456. Its totient is φ = 1638489600.

The previous prime is 6766610377. The next prime is 6766610401. The reversal of 6766610400 is 40166676.

It is a tau number, because it is divible by the number of its divisors (540).

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 (6766610401) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 7840369 + ... + 7841231.

Almost surely, 2^6766610400 is an apocalyptic number.

6766610400 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 6766610400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13577599728).

6766610400 is an abundant number, since it is smaller than the sum of its proper divisors (20388589056).

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

6766610400 is a wasteful number, since it uses less digits than its factorization.

6766610400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 6766610400 is about 82259.4091882503. The cubic root of 6766610400 is about 1891.4305118546.

The spelling of 6766610400 in words is "six billion, seven hundred sixty-six million, six hundred ten thousand, four hundred".