546002860032 has 1152 divisors, whose sum is σ = 2031140966400. Its totient is φ = 137650765824.

The previous prime is 546002860031. The next prime is 546002860043. The reversal of 546002860032 is 230068200645.

546002860032 is a `hidden beast` number, since 5 + 46 + 0 + 0 + 2 + 8 + 600 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (546002860031) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3985422268 + ... + 3985422404.

It is an arithmetic number, because the mean of its divisors is an integer number (1763143200).

Almost surely, 2^546002860032 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 546002860032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015570483200).

546002860032 is an abundant number, since it is smaller than the sum of its proper divisors (1485138106368).

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

546002860032 is a wasteful number, since it uses less digits than its factorization.

546002860032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 546002860032 in words is "five hundred forty-six billion, two million, eight hundred sixty thousand, thirty-two".