546340120560 has 400 divisors, whose sum is σ = 2066472112320. Its totient is φ = 132970844160.

The previous prime is 546340120493. The next prime is 546340120561. The reversal of 546340120560 is 65021043645.

546340120560 is a `hidden beast` number, since 5 + 4 + 634 + 0 + 12 + 0 + 5 + 6 + 0 = 666.

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 (546340120561) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7460925 + ... + 7533795.

Almost surely, 2^546340120560 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 546340120560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033236056160).

546340120560 is an abundant number, since it is smaller than the sum of its proper divisors (1520131991760).

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

546340120560 is a wasteful number, since it uses less digits than its factorization.

546340120560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72998 (or 72983 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 546340120560 in words is "five hundred forty-six billion, three hundred forty million, one hundred twenty thousand, five hundred sixty".