540556602264 has 384 divisors, whose sum is σ = 1852142423040. Its totient is φ = 138773200896.

The previous prime is 540556602251. The next prime is 540556602277. The reversal of 540556602264 is 462206655045.

540556602264 is a `hidden beast` number, since 5 + 4 + 0 + 5 + 566 + 0 + 22 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (540556602251) and next prime (540556602277).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 115674232 + ... + 115678904.

It is an arithmetic number, because the mean of its divisors is an integer number (4823287560).

Almost surely, 2^540556602264 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 540556602264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926071211520).

540556602264 is an abundant number, since it is smaller than the sum of its proper divisors (1311585820776).

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

540556602264 is a wasteful number, since it uses less digits than its factorization.

540556602264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5319 (or 5312 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 540556602264 in words is "five hundred forty billion, five hundred fifty-six million, six hundred two thousand, two hundred sixty-four".