64459915453440 has 2112 divisors, whose sum is σ = 256223387609280. Its totient is φ = 14873756958720.

The previous prime is 64459915453421. The next prime is 64459915453457. The reversal of 64459915453440 is 4435451995446.

64459915453440 is a `hidden beast` number, since 6 + 4 + 4 + 5 + 9 + 9 + 1 + 54 + 534 + 40 = 666.

It can be written as a sum of positive squares in 32 ways, for example, as 59146189710336 + 5313725743104 = 7690656^2 + 2305152^2 .

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 191 ways as a sum of consecutive naturals, for example, 80878187122 + ... + 80878187918.

Almost surely, 2^{64459915453440} is an apocalyptic number.

64459915453440 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 64459915453440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128111693804640).

64459915453440 is an abundant number, since it is smaller than the sum of its proper divisors (191763472155840).

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

64459915453440 is a wasteful number, since it uses less digits than its factorization.

64459915453440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 186624000, while the sum is 63.

The spelling of 64459915453440 in words is "sixty-four trillion, four hundred fifty-nine billion, nine hundred fifteen million, four hundred fifty-three thousand, four hundred forty".