542646720 has 336 divisors, whose sum is σ = 2327989248. Its totient is φ = 112711680.

The previous prime is 542646719. The next prime is 542646721. The reversal of 542646720 is 27646245.

542646720 is a `hidden beast` number, since 5 + 4 + 2 + 646 + 7 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (542646719) and next prime (542646721).

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (542646721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 220537 + ... + 222983.

Almost surely, 2^542646720 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 542646720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1163994624).

542646720 is an abundant number, since it is smaller than the sum of its proper divisors (1785342528).

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

542646720 is a wasteful number, since it uses less digits than its factorization.

542646720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2488 (or 2475 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 542646720 is about 23294.7788141463. The cubic root of 542646720 is about 815.6535438110.

The spelling of 542646720 in words is "five hundred forty-two million, six hundred forty-six thousand, seven hundred twenty".