640414341216 has 576 divisors, whose sum is σ = 2130320424960. Its totient is φ = 180871004160.

The previous prime is 640414341211. The next prime is 640414341227. The reversal of 640414341216 is 612143414046.

640414341216 is a `hidden beast` number, since 6 + 4 + 0 + 4 + 1 + 434 + 1 + 216 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (640414341211) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 339022000 + ... + 339023888.

It is an arithmetic number, because the mean of its divisors is an integer number (3698472960).

Almost surely, 2^640414341216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 640414341216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065160212480).

640414341216 is an abundant number, since it is smaller than the sum of its proper divisors (1489906083744).

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

640414341216 is a wasteful number, since it uses less digits than its factorization.

640414341216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2099 (or 2088 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 640414341216 in words is "six hundred forty billion, four hundred fourteen million, three hundred forty-one thousand, two hundred sixteen".