546870804480 has 2880 divisors, whose sum is σ = 2763123148800. Its totient is φ = 99373547520.

The previous prime is 546870804479. The next prime is 546870804497. The reversal of 546870804480 is 84408078645.

546870804480 is a `hidden beast` number, since 5 + 4 + 6 + 87 + 0 + 80 + 4 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 28782673911 + ... + 28782673929.

It is an arithmetic number, because the mean of its divisors is an integer number (959417760).

Almost surely, 2^546870804480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 546870804480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381561574400).

546870804480 is an abundant number, since it is smaller than the sum of its proper divisors (2216252344320).

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

546870804480 is a wasteful number, since it uses less digits than its factorization.

546870804480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 546870804480 in words is "five hundred forty-six billion, eight hundred seventy million, eight hundred four thousand, four hundred eighty".