540475828464 has 960 divisors, whose sum is σ = 1851241512960. Its totient is φ = 134769254400.

The previous prime is 540475828369. The next prime is 540475828559. The reversal of 540475828464 is 464828574045.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (540475828369) and next prime (540475828559).

It is a super-2 number, since 2×540475828464² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11499485689 + ... + 11499485735.

It is an arithmetic number, because the mean of its divisors is an integer number (1928376576).

Almost surely, 2^540475828464 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 540475828464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925620756480).

540475828464 is an abundant number, since it is smaller than the sum of its proper divisors (1310765684496).

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

540475828464 is a wasteful number, since it uses less digits than its factorization.

540475828464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 34406400, while the sum is 57.

The spelling of 540475828464 in words is "five hundred forty billion, four hundred seventy-five million, eight hundred twenty-eight thousand, four hundred sixty-four".