640427210280 has 1152 divisors, whose sum is σ = 2626132803840. Its totient is φ = 133705728000.

The previous prime is 640427210273. The next prime is 640427210281. The reversal of 640427210280 is 82012724046.

640427210280 is a `hidden beast` number, since 6 + 404 + 2 + 72 + 102 + 80 = 666.

640427210280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (640427210281) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2059251325 + ... + 2059251635.

It is an arithmetic number, because the mean of its divisors is an integer number (2279629170).

Almost surely, 2^640427210280 is an apocalyptic number.

640427210280 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 640427210280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313066401920).

640427210280 is an abundant number, since it is smaller than the sum of its proper divisors (1985705593560).

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

640427210280 is a wasteful number, since it uses less digits than its factorization.

640427210280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 640427210280 in words is "six hundred forty billion, four hundred twenty-seven million, two hundred ten thousand, two hundred eighty".