640144501050015 has 128 divisors (see below), whose sum is σ = 1329318944352000. Its totient is φ = 289375551406080.

The previous prime is 640144501050011. The next prime is 640144501050017. The reversal of 640144501050015 is 510050105441046.

640144501050015 is a `hidden beast` number, since 6 + 4 + 0 + 144 + 5 + 0 + 1 + 0 + 500 + 1 + 5 = 666.

It is not a de Polignac number, because 640144501050015 - 2² = 640144501050011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (640144501050011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 260437240 + ... + 262883709.

It is an arithmetic number, because the mean of its divisors is an integer number (10385304252750).

Almost surely, 2^{640144501050015} is an apocalyptic number.

640144501050015 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

640144501050015 is an abundant number, since it is smaller than the sum of its proper divisors (689174443301985).

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

640144501050015 is a wasteful number, since it uses less digits than its factorization.

640144501050015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523321034 (or 523321028 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 640144501050015 in words is "six hundred forty trillion, one hundred forty-four billion, five hundred one million, fifty thousand, fifteen".