6756458160 has 160 divisors (see below), whose sum is σ = 21396130560. Its totient is φ = 1763200000.

The previous prime is 6756458129. The next prime is 6756458221. The reversal of 6756458160 is 618546576.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3553210 + ... + 3555110.

It is an arithmetic number, because the mean of its divisors is an integer number (133725816).

Almost surely, 2^6756458160 is an apocalyptic number.

6756458160 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 6756458160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10698065280).

6756458160 is an abundant number, since it is smaller than the sum of its proper divisors (14639672400).

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

6756458160 is a wasteful number, since it uses less digits than its factorization.

6756458160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2227 (or 2221 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The square root of 6756458160 is about 82197.6773394480. The cubic root of 6756458160 is about 1890.4841065545.

The spelling of 6756458160 in words is "six billion, seven hundred fifty-six million, four hundred fifty-eight thousand, one hundred sixty".