6755480400 has 480 divisors, whose sum is σ = 24992150400. Its totient is φ = 1548288000.

The previous prime is 6755480363. The next prime is 6755480423. The reversal of 6755480400 is 40845576.

It is a super-3 number, since 3×6755480400³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

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, 11240100 + ... + 11240700.

It is an arithmetic number, because the mean of its divisors is an integer number (52066980).

Almost surely, 2^6755480400 is an apocalyptic number.

6755480400 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 6755480400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12496075200).

6755480400 is an abundant number, since it is smaller than the sum of its proper divisors (18236670000).

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

6755480400 is a wasteful number, since it uses less digits than its factorization.

6755480400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The square root of 6755480400 is about 82191.7295109429. The cubic root of 6755480400 is about 1890.3929084312.

The spelling of 6755480400 in words is "six billion, seven hundred fifty-five million, four hundred eighty thousand, four hundred".