546420536323200 has 4608 divisors, whose sum is σ = 2720481986937600. Its totient is φ = 106850451456000.

The previous prime is 546420536323199. The next prime is 546420536323283. The reversal of 546420536323200 is 2323635024645.

It is a happy number.

546420536323200 is a `hidden beast` number, since 5 + 4 + 6 + 4 + 2 + 0 + 5 + 3 + 632 + 3 + 2 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 64126334940 + ... + 64126343460.

Almost surely, 2^{546420536323200} is an apocalyptic number.

546420536323200 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 546420536323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360240993468800).

546420536323200 is an abundant number, since it is smaller than the sum of its proper divisors (2174061450614400).

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

546420536323200 is a wasteful number, since it uses less digits than its factorization.

546420536323200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8608 (or 8566 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 45.

The spelling of 546420536323200 in words is "five hundred forty-six trillion, four hundred twenty billion, five hundred thirty-six million, three hundred twenty-three thousand, two hundred".