64234522460160 has 1440 divisors, whose sum is σ = 247088588318208. Its totient is φ = 15335801487360.

The previous prime is 64234522460153. The next prime is 64234522460177. The reversal of 64234522460160 is 6106422543246.

It is a happy number.

64234522460160 is a `hidden beast` number, since 6 + 4 + 2 + 3 + 4 + 5 + 22 + 460 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 87632363154 + ... + 87632363886.

Almost surely, 2^{64234522460160} is an apocalyptic number.

64234522460160 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 64234522460160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123544294159104).

64234522460160 is an abundant number, since it is smaller than the sum of its proper divisors (182854065858048).

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

64234522460160 is a wasteful number, since it uses less digits than its factorization.

64234522460160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 64234522460160 in words is "sixty-four trillion, two hundred thirty-four billion, five hundred twenty-two million, four hundred sixty thousand, one hundred sixty".