640841148720 has 1600 divisors, whose sum is σ = 2613432729600. Its totient is φ = 144521625600.

The previous prime is 640841148691. The next prime is 640841148733. The reversal of 640841148720 is 27841148046.

640841148720 is a `hidden beast` number, since 64 + 0 + 84 + 11 + 487 + 20 = 666.

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 319 ways as a sum of consecutive naturals, for example, 3220307181 + ... + 3220307379.

It is an arithmetic number, because the mean of its divisors is an integer number (1633395456).

Almost surely, 2^640841148720 is an apocalyptic number.

640841148720 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 640841148720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306716364800).

640841148720 is an abundant number, since it is smaller than the sum of its proper divisors (1972591580880).

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

640841148720 is a wasteful number, since it uses less digits than its factorization.

640841148720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

It can be divided in two parts, 6408 and 41148720, that added together give a triangular number (41155128 = T₉₀₇₂).

The spelling of 640841148720 in words is "six hundred forty billion, eight hundred forty-one million, one hundred forty-eight thousand, seven hundred twenty".