546912576000 has 1920 divisors, whose sum is σ = 2437789685760. Its totient is φ = 115015680000.

The previous prime is 546912575987. The next prime is 546912576097. The reversal of 546912576000 is 675219645.

546912576000 is a `hidden beast` number, since 5 + 4 + 69 + 12 + 576 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×546912576000² (a number of 24 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 5414975950 + ... + 5414976050.

It is an arithmetic number, because the mean of its divisors is an integer number (1269682128).

Almost surely, 2^546912576000 is an apocalyptic number.

546912576000 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 546912576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218894842880).

546912576000 is an abundant number, since it is smaller than the sum of its proper divisors (1890877109760).

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

546912576000 is a wasteful number, since it uses less digits than its factorization.

546912576000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 546912576000 in words is "five hundred forty-six billion, nine hundred twelve million, five hundred seventy-six thousand".