540170674560 has 1280 divisors, whose sum is σ = 2186708166720. Its totient is φ = 125942169600.

The previous prime is 540170674559. The next prime is 540170674607. The reversal of 540170674560 is 65476071045.

540170674560 is a `hidden beast` number, since 5 + 4 + 0 + 17 + 0 + 6 + 74 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1843585774 + ... + 1843586066.

Almost surely, 2^540170674560 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 540170674560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093354083360).

540170674560 is an abundant number, since it is smaller than the sum of its proper divisors (1646537492160).

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

540170674560 is a wasteful number, since it uses less digits than its factorization.

540170674560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 540170674560 in words is "five hundred forty billion, one hundred seventy million, six hundred seventy-four thousand, five hundred sixty".