6541764764730 has 256 divisors, whose sum is σ = 18474714316800. Its totient is φ = 1468061521920.

The previous prime is 6541764764723. The next prime is 6541764764741. The reversal of 6541764764730 is 374674671456.

It is a happy number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 41038542 + ... + 41197638.

It is an arithmetic number, because the mean of its divisors is an integer number (72166852800).

Almost surely, 2^{6541764764730} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6541764764730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9237357158400).

6541764764730 is an abundant number, since it is smaller than the sum of its proper divisors (11932949552070).

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

6541764764730 is a wasteful number, since it uses less digits than its factorization.

6541764764730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159349.

The product of its (nonzero) digits is 71124480, while the sum is 60.

The spelling of 6541764764730 in words is "six trillion, five hundred forty-one billion, seven hundred sixty-four million, seven hundred sixty-four thousand, seven hundred thirty".