64579955997546 has 96 divisors (see below), whose sum is σ = 153333037915200. Its totient is φ = 19481311088640.

The previous prime is 64579955997511. The next prime is 64579955997563.

64579955997546 is a `hidden beast` number, since 6 + 4 + 5 + 7 + 9 + 9 + 5 + 59 + 9 + 7 + 546 = 666.

64579955997546 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, 313074090 + ... + 313280298.

It is an arithmetic number, because the mean of its divisors is an integer number (1597219144950).

Almost surely, 2^{64579955997546} is an apocalyptic number.

64579955997546 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 64579955997546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76666518957600).

64579955997546 is an abundant number, since it is smaller than the sum of its proper divisors (88753081917654).

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

64579955997546 is a wasteful number, since it uses less digits than its factorization.

64579955997546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213364 (or 213361 counting only the distinct ones).

The product of its digits is 115736040000, while the sum is 90.

The spelling of 64579955997546 in words is "sixty-four trillion, five hundred seventy-nine billion, nine hundred fifty-five million, nine hundred ninety-seven thousand, five hundred forty-six".