540801393664 has 231 divisors, whose sum is σ = 1280357865003. Its totient is φ = 228312741888.

The previous prime is 540801393661. The next prime is 540801393673. The reversal of 540801393664 is 466393108045.

It is a happy number.

The square root of 540801393664 is 735392.

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

It is a super-2 number, since 2×540801393664² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (540801393661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 8071662559 + ... + 8071662625.

Almost surely, 2^540801393664 is an apocalyptic number.

540801393664 is the 735392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540801393664

540801393664 is an abundant number, since it is smaller than the sum of its proper divisors (739556471339).

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

540801393664 is an frugal number, since it uses more digits than its factorization.

540801393664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 49.

Multiplying 540801393664 by its sum of digits (49), we get a square (26499268289536 = 5147744²).

540801393664 divided by its sum of digits (49) gives a square (11036763136 = 105056²).

The spelling of 540801393664 in words is "five hundred forty billion, eight hundred one million, three hundred ninety-three thousand, six hundred sixty-four".