546406848000 has 960 divisors, whose sum is σ = 2170011235392. Its totient is φ = 131294822400.

The previous prime is 546406847923. The next prime is 546406848011. The reversal of 546406848000 is 848604645.

546406848000 is a `hidden beast` number, since 54 + 64 + 0 + 68 + 480 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 321983152 + ... + 321984848.

Almost surely, 2^546406848000 is an apocalyptic number.

546406848000 is a gapful number since it is divisible by the number (50) 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 546406848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1085005617696).

546406848000 is an abundant number, since it is smaller than the sum of its proper divisors (1623604387392).

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

546406848000 is a wasteful number, since it uses less digits than its factorization.

546406848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1792 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 546406848000 in words is "five hundred forty-six billion, four hundred six million, eight hundred forty-eight thousand".