540507340800 has 768 divisors, whose sum is σ = 2270174342400. Its totient is φ = 123509145600.

The previous prime is 540507340693. The next prime is 540507340831. The reversal of 540507340800 is 8043705045.

540507340800 is a `hidden beast` number, since 5 + 40 + 507 + 34 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154827055 + ... + 154830545.

It is an arithmetic number, because the mean of its divisors is an integer number (2955956175).

Almost surely, 2^540507340800 is an apocalyptic number.

540507340800 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 540507340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1135087171200).

540507340800 is an abundant number, since it is smaller than the sum of its proper divisors (1729667001600).

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

540507340800 is an equidigital number, since it uses as much as digits as its factorization.

540507340800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3547 (or 3508 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 540507340800 in words is "five hundred forty billion, five hundred seven million, three hundred forty thousand, eight hundred".