540784194048 has 640 divisors, whose sum is σ = 1957599705600. Its totient is φ = 143879307264.

The previous prime is 540784193933. The next prime is 540784194061. The reversal of 540784194048 is 840491487045.

540784194048 is a `hidden beast` number, since 5 + 407 + 8 + 4 + 194 + 0 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 540784193985 and 540784194003.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 159568738 + ... + 159572126.

It is an arithmetic number, because the mean of its divisors is an integer number (3058749540).

Almost surely, 2^540784194048 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 540784194048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978799852800).

540784194048 is an abundant number, since it is smaller than the sum of its proper divisors (1416815511552).

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

540784194048 is a wasteful number, since it uses less digits than its factorization.

540784194048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3537 (or 3515 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 540784194048 in words is "five hundred forty billion, seven hundred eighty-four million, one hundred ninety-four thousand, forty-eight".