6546408960 has 1280 divisors, whose sum is σ = 29698099200. Its totient is φ = 1189085184.

The previous prime is 6546408937. The next prime is 6546409039. The reversal of 6546408960 is 698046456.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1280).

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

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, 225738226 + ... + 225738254.

It is an arithmetic number, because the mean of its divisors is an integer number (23201640).

Almost surely, 2^6546408960 is an apocalyptic number.

6546408960 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 6546408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14849049600).

6546408960 is an abundant number, since it is smaller than the sum of its proper divisors (23151690240).

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

6546408960 is a wasteful number, since it uses less digits than its factorization.

6546408960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The square root of 6546408960 is about 80909.8817203437. The cubic root of 6546408960 is about 1870.6866381384.

The spelling of 6546408960 in words is "six billion, five hundred forty-six million, four hundred eight thousand, nine hundred sixty".