540189720576 has 765 divisors, whose sum is σ = 1837222600213. Its totient is φ = 158049239040.

The previous prime is 540189720569. The next prime is 540189720583. The reversal of 540189720576 is 675027981045.

The square root of 540189720576 is 734976.

It is a perfect power (a square), and thus also a powerful number.

540189720576 is a `hidden beast` number, since 5 + 40 + 1 + 8 + 9 + 7 + 20 + 576 = 666.

It is an interprime number because it is at equal distance from previous prime (540189720569) and next prime (540189720583).

It can be written as a sum of positive squares in only one way, i.e., 283262386176 + 256927334400 = 532224^2 + 506880^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 18627231730 + ... + 18627231758.

Almost surely, 2^540189720576 is an apocalyptic number.

540189720576 is the 734976-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540189720576

540189720576 is an abundant number, since it is smaller than the sum of its proper divisors (1297032879637).

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

540189720576 is an frugal number, since it uses more digits than its factorization.

540189720576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 540189720576 in words is "five hundred forty billion, one hundred eighty-nine million, seven hundred twenty thousand, five hundred seventy-six".