64740608000640 has 640 divisors, whose sum is σ = 271620081976320. Its totient is φ = 14487407124480.

The previous prime is 64740608000609. The next prime is 64740608000693. The reversal of 64740608000640 is 4600080604746.

64740608000640 is a `hidden beast` number, since 6 + 474 + 0 + 60 + 80 + 0 + 0 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 79 ways as a sum of consecutive naturals, for example, 3046497 + ... + 11779743.

It is an arithmetic number, because the mean of its divisors is an integer number (424406378088).

Almost surely, 2^{64740608000640} is an apocalyptic number.

64740608000640 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 64740608000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135810040988160).

64740608000640 is an abundant number, since it is smaller than the sum of its proper divisors (206879473975680).

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

64740608000640 is a wasteful number, since it uses less digits than its factorization.

64740608000640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8733302 (or 8733281 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 64740608000640 in words is "sixty-four trillion, seven hundred forty billion, six hundred eight million, six hundred forty", and thus it is an aban number.