64442587668480 has 2240 divisors, whose sum is σ = 277254488383488. Its totient is φ = 14000204021760.

The previous prime is 64442587668449. The next prime is 64442587668517. The reversal of 64442587668480 is 8486678524446.

64442587668480 is a `hidden beast` number, since 6 + 4 + 4 + 4 + 2 + 5 + 87 + 6 + 68 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 64442587668399 and 64442587668408.

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 119117537010 + ... + 119117537550.

Almost surely, 2^{64442587668480} is an apocalyptic number.

64442587668480 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 64442587668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138627244191744).

64442587668480 is an abundant number, since it is smaller than the sum of its proper divisors (212811900715008).

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

64442587668480 is a wasteful number, since it uses less digits than its factorization.

64442587668480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 1981808640, while the sum is 72.

The spelling of 64442587668480 in words is "sixty-four trillion, four hundred forty-two billion, five hundred eighty-seven million, six hundred sixty-eight thousand, four hundred eighty".