6539540736960 has 4032 divisors, whose sum is σ = 32104578147840. Its totient is φ = 1238134947840.

The previous prime is 6539540736931. The next prime is 6539540736997. The reversal of 6539540736960 is 696370459356.

6539540736960 is a `hidden beast` number, since 6 + 53 + 9 + 540 + 7 + 36 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 57872041864 + ... + 57872041976.

Almost surely, 2^{6539540736960} is an apocalyptic number.

6539540736960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6539540736960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16052289073920).

6539540736960 is an abundant number, since it is smaller than the sum of its proper divisors (25565037410880).

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

6539540736960 is a wasteful number, since it uses less digits than its factorization.

6539540736960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 110224800, while the sum is 63.

The spelling of 6539540736960 in words is "six trillion, five hundred thirty-nine billion, five hundred forty million, seven hundred thirty-six thousand, nine hundred sixty".