640074111272000 has 224 divisors, whose sum is σ = 1615135232430720. Its totient is φ = 251185936435200.

The previous prime is 640074111271999. The next prime is 640074111272003. The reversal of 640074111272000 is 272111470046.

It is not an unprimeable number, because it can be changed into a prime (640074111272003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15394147211 + ... + 15394188789.

It is an arithmetic number, because the mean of its divisors is an integer number (7210425144780).

Almost surely, 2^{640074111272000} 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 640074111272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807567616215360).

640074111272000 is an abundant number, since it is smaller than the sum of its proper divisors (975061121158720).

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

640074111272000 is a wasteful number, since it uses less digits than its factorization.

640074111272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77966 (or 77946 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 35.

The spelling of 640074111272000 in words is "six hundred forty trillion, seventy-four billion, one hundred eleven million, two hundred seventy-two thousand".