64864129847040 has 288 divisors, whose sum is σ = 230264076134400. Its totient is φ = 17290600796160.

The previous prime is 64864129847021. The next prime is 64864129847123. The reversal of 64864129847040 is 4074892146846.

64864129847040 is a `hidden beast` number, since 6 + 4 + 8 + 64 + 12 + 98 + 470 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91958421 + ... + 92661099.

Almost surely, 2^{64864129847040} is an apocalyptic number.

64864129847040 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 64864129847040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115132038067200).

64864129847040 is an abundant number, since it is smaller than the sum of its proper divisors (165399946287360).

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

64864129847040 is a wasteful number, since it uses less digits than its factorization.

64864129847040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705380 (or 705360 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 64864129847040 in words is "sixty-four trillion, eight hundred sixty-four billion, one hundred twenty-nine million, eight hundred forty-seven thousand, forty".