6752108160 has 640 divisors, whose sum is σ = 28791417600. Its totient is φ = 1474412544.

The previous prime is 6752108141. The next prime is 6752108173. The reversal of 6752108160 is 618012576.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8345836 + ... + 8346644.

It is an arithmetic number, because the mean of its divisors is an integer number (44986590).

Almost surely, 2^6752108160 is an apocalyptic number.

6752108160 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 6752108160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14395708800).

6752108160 is an abundant number, since it is smaller than the sum of its proper divisors (22039309440).

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

6752108160 is a wasteful number, since it uses less digits than its factorization.

6752108160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 6752108160 is about 82171.2124773634. The cubic root of 6752108160 is about 1890.0783036341.

The spelling of 6752108160 in words is "six billion, seven hundred fifty-two million, one hundred eight thousand, one hundred sixty".