64672292160 has 1344 divisors, whose sum is σ = 289971601920. Its totient is φ = 13377208320.

The previous prime is 64672292137. The next prime is 64672292161. The reversal of 64672292160 is 6129227646.

64672292160 is a `hidden beast` number, since 6 + 467 + 2 + 29 + 2 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64672292161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 268349640 + ... + 268349880.

It is an arithmetic number, because the mean of its divisors is an integer number (215752680).

Almost surely, 2^64672292160 is an apocalyptic number.

64672292160 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 64672292160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144985800960).

64672292160 is an abundant number, since it is smaller than the sum of its proper divisors (225299309760).

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

64672292160 is a wasteful number, since it uses less digits than its factorization.

64672292160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 64672292160 in words is "sixty-four billion, six hundred seventy-two million, two hundred ninety-two thousand, one hundred sixty".