6750505440 has 768 divisors, whose sum is σ = 29417472000. Its totient is φ = 1410877440.

The previous prime is 6750505427. The next prime is 6750505477. The reversal of 6750505440 is 445050576.

It is a happy number.

6750505440 is a `hidden beast` number, since 67 + 5 + 0 + 50 + 544 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 6750505395 and 6750505404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17811171 + ... + 17811549.

It is an arithmetic number, because the mean of its divisors is an integer number (38304000).

Almost surely, 2^6750505440 is an apocalyptic number.

6750505440 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 6750505440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14708736000).

6750505440 is an abundant number, since it is smaller than the sum of its proper divisors (22666966560).

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

6750505440 is a wasteful number, since it uses less digits than its factorization.

6750505440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 6750505440 is about 82161.4595780771. The cubic root of 6750505440 is about 1889.9287451091.

The spelling of 6750505440 in words is "six billion, seven hundred fifty million, five hundred five thousand, four hundred forty".