640027129729680 has 480 divisors, whose sum is σ = 2679985322247168. Its totient is φ = 132983547724800.

The previous prime is 640027129729679. The next prime is 640027129729717. The reversal of 640027129729680 is 86927921720046.

640027129729680 is a `hidden beast` number, since 6 + 400 + 2 + 7 + 129 + 7 + 29 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 825169407 + ... + 825944673.

Almost surely, 2^{640027129729680} is an apocalyptic number.

640027129729680 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 640027129729680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339992661123584).

640027129729680 is an abundant number, since it is smaller than the sum of its proper divisors (2039958192517488).

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

640027129729680 is a wasteful number, since it uses less digits than its factorization.

640027129729680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790195 (or 790186 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 640027129729680 in words is "six hundred forty trillion, twenty-seven billion, one hundred twenty-nine million, seven hundred twenty-nine thousand, six hundred eighty".