540767912832 has 640 divisors, whose sum is σ = 1985541465600. Its totient is φ = 142678609920.

The previous prime is 540767912827. The next prime is 540767912929. The reversal of 540767912832 is 238219767045.

It is a happy number.

540767912832 is a `hidden beast` number, since 540 + 7 + 6 + 7 + 9 + 12 + 83 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 48402607 + ... + 48413777.

It is an arithmetic number, because the mean of its divisors is an integer number (3102408540).

It is a 1-persistent number, because it is pandigital, but 2⋅540767912832 = 1081535825664 is not.

Almost surely, 2^540767912832 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 540767912832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (992770732800).

540767912832 is an abundant number, since it is smaller than the sum of its proper divisors (1444773552768).

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

540767912832 is a wasteful number, since it uses less digits than its factorization.

540767912832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11256 (or 11235 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 540767912832 in words is "five hundred forty billion, seven hundred sixty-seven million, nine hundred twelve thousand, eight hundred thirty-two".