542636236800 has 840 divisors, whose sum is σ = 2297836853136. Its totient is φ = 124004597760.

The previous prime is 542636236777. The next prime is 542636236801. The reversal of 542636236800 is 8632636245.

It is a happy number.

542636236800 is a `hidden beast` number, since 5 + 4 + 2 + 636 + 2 + 3 + 6 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542636236801) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 116119264 + ... + 116123936.

Almost surely, 2^542636236800 is an apocalyptic number.

542636236800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542636236800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148918426568).

542636236800 is an abundant number, since it is smaller than the sum of its proper divisors (1755200616336).

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

542636236800 is an equidigital number, since it uses as much as digits as its factorization.

542636236800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4728 (or 4690 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 542636236800 in words is "five hundred forty-two billion, six hundred thirty-six million, two hundred thirty-six thousand, eight hundred".