540874952640 has 336 divisors, whose sum is σ = 2030567700096. Its totient is φ = 131052902400.

The previous prime is 540874952603. The next prime is 540874952659. The reversal of 540874952640 is 46259478045.

540874952640 is a `hidden beast` number, since 5 + 4 + 0 + 8 + 74 + 9 + 526 + 40 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88795995 + ... + 88802085.

Almost surely, 2^540874952640 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 540874952640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015283850048).

540874952640 is an abundant number, since it is smaller than the sum of its proper divisors (1489692747456).

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

540874952640 is a wasteful number, since it uses less digits than its factorization.

540874952640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8928 (or 8915 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 540874952640 in words is "five hundred forty billion, eight hundred seventy-four million, nine hundred fifty-two thousand, six hundred forty".