6889548960 has 720 divisors, whose sum is σ = 29824835040. Its totient is φ = 1489259520.

The previous prime is 6889548949. The next prime is 6889548973. The reversal of 6889548960 is 698459886.

6889548960 is a `hidden beast` number, since 6 + 8 + 8 + 95 + 489 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 12065475 + ... + 12066045.

It is an arithmetic number, because the mean of its divisors is an integer number (41423382).

Almost surely, 2^6889548960 is an apocalyptic number.

6889548960 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 6889548960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14912417520).

6889548960 is an abundant number, since it is smaller than the sum of its proper divisors (22935286080).

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

6889548960 is a wasteful number, since it uses less digits than its factorization.

6889548960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The square root of 6889548960 is about 83003.3069220739. The cubic root of 6889548960 is about 1902.8165944958.

It can be divided in two parts, 68895 and 48960, that added together give a triangular number (117855 = T₄₈₅).

The spelling of 6889548960 in words is "six billion, eight hundred eighty-nine million, five hundred forty-eight thousand, nine hundred sixty".