64536755763546 has 96 divisors (see below), whose sum is σ = 156674982604608. Its totient is φ = 19026722085120.

The previous prime is 64536755763539. The next prime is 64536755763661.

It is a happy number.

64536755763546 is a `hidden beast` number, since 6 + 4 + 5 + 3 + 6 + 7 + 5 + 5 + 76 + 3 + 546 = 666.

64536755763546 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108443070 + ... + 109036566.

It is an arithmetic number, because the mean of its divisors is an integer number (1632031068798).

Almost surely, 2^{64536755763546} is an apocalyptic number.

64536755763546 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 64536755763546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78337491302304).

64536755763546 is an abundant number, since it is smaller than the sum of its proper divisors (92138226841062).

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

64536755763546 is a wasteful number, since it uses less digits than its factorization.

64536755763546 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608396 (or 608393 counting only the distinct ones).

The product of its digits is 5715360000, while the sum is 72.

The spelling of 64536755763546 in words is "sixty-four trillion, five hundred thirty-six billion, seven hundred fifty-five million, seven hundred sixty-three thousand, five hundred forty-six".