6745896960 has 192 divisors, whose sum is σ = 23544743040. Its totient is φ = 1635287040.

The previous prime is 6745896919. The next prime is 6745896977. The reversal of 6745896960 is 696985476.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 6745896894 and 6745896903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 327939 + ... + 347901.

It is an arithmetic number, because the mean of its divisors is an integer number (122628870).

Almost surely, 2^6745896960 is an apocalyptic number.

6745896960 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 6745896960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11772371520).

6745896960 is an abundant number, since it is smaller than the sum of its proper divisors (16798846080).

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

6745896960 is a wasteful number, since it uses less digits than its factorization.

6745896960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20004 (or 19984 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 60.

The square root of 6745896960 is about 82133.4095237742. The cubic root of 6745896960 is about 1889.4985708231.

The spelling of 6745896960 in words is "six billion, seven hundred forty-five million, eight hundred ninety-six thousand, nine hundred sixty".