540288967680 has 1584 divisors, whose sum is σ = 2391975505920. Its totient is φ = 110361968640.

The previous prime is 540288967661. The next prime is 540288967739. The reversal of 540288967680 is 86769882045.

540288967680 is a `hidden beast` number, since 5 + 402 + 8 + 89 + 6 + 76 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4254243777 + ... + 4254243903.

Almost surely, 2^540288967680 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 540288967680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195987752960).

540288967680 is an abundant number, since it is smaller than the sum of its proper divisors (1851686538240).

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

540288967680 is a wasteful number, since it uses less digits than its factorization.

540288967680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 540288967680 in words is "five hundred forty billion, two hundred eighty-eight million, nine hundred sixty-seven thousand, six hundred eighty".