640042021080 has 1536 divisors, whose sum is σ = 2895782400000. Its totient is φ = 122709565440.

The previous prime is 640042021049. The next prime is 640042021093. The reversal of 640042021080 is 80120240046.

640042021080 is a `hidden beast` number, since 6 + 400 + 42 + 0 + 210 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 610144396 + ... + 610145444.

It is an arithmetic number, because the mean of its divisors is an integer number (1885275000).

Almost surely, 2^640042021080 is an apocalyptic number.

640042021080 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 640042021080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447891200000).

640042021080 is an abundant number, since it is smaller than the sum of its proper divisors (2255740378920).

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

640042021080 is a wasteful number, since it uses less digits than its factorization.

640042021080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 640042021080 in words is "six hundred forty billion, forty-two million, twenty-one thousand, eighty".