546077705040 has 480 divisors, whose sum is σ = 2207692032000. Its totient is φ = 120789688320.

The previous prime is 546077705029. The next prime is 546077705081. The reversal of 546077705040 is 40507770645.

546077705040 is a `hidden beast` number, since 5 + 4 + 6 + 0 + 77 + 70 + 504 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7620096 + ... + 7691424.

It is an arithmetic number, because the mean of its divisors is an integer number (4599358400).

Almost surely, 2^546077705040 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 546077705040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103846016000).

546077705040 is an abundant number, since it is smaller than the sum of its proper divisors (1661614326960).

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

546077705040 is a wasteful number, since it uses less digits than its factorization.

546077705040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71400 (or 71377 counting only the distinct ones).

The product of its (nonzero) digits is 823200, while the sum is 45.

The spelling of 546077705040 in words is "five hundred forty-six billion, seventy-seven million, seven hundred five thousand, forty".