542730977280 has 576 divisors, whose sum is σ = 1949163989760. Its totient is φ = 139693916160.

The previous prime is 542730977227. The next prime is 542730977281. The reversal of 542730977280 is 82779037245.

542730977280 is a `hidden beast` number, since 5 + 4 + 273 + 0 + 97 + 7 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542730977281) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1417051969 + ... + 1417052351.

It is an arithmetic number, because the mean of its divisors is an integer number (3383965260).

Almost surely, 2^542730977280 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 542730977280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974581994880).

542730977280 is an abundant number, since it is smaller than the sum of its proper divisors (1406433012480).

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

542730977280 is an equidigital number, since it uses as much as digits as its factorization.

542730977280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 542730977280 in words is "five hundred forty-two billion, seven hundred thirty million, nine hundred seventy-seven thousand, two hundred eighty".