640226648448 has 384 divisors, whose sum is σ = 1989789235200. Its totient is φ = 196952186880.

The previous prime is 640226648437. The next prime is 640226648459. The reversal of 640226648448 is 844846622046.

640226648448 is a `hidden beast` number, since 6 + 40 + 22 + 66 + 484 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (640226648437) and next prime (640226648459).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×640226648448² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 640226648394 and 640226648403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 239694153 + ... + 239696823.

It is an arithmetic number, because the mean of its divisors is an integer number (5181742800).

Almost surely, 2^640226648448 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 640226648448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994894617600).

640226648448 is an abundant number, since it is smaller than the sum of its proper divisors (1349562586752).

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

640226648448 is a wasteful number, since it uses less digits than its factorization.

640226648448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2990 (or 2975 counting only the distinct ones).

The product of its (nonzero) digits is 14155776, while the sum is 54.

The spelling of 640226648448 in words is "six hundred forty billion, two hundred twenty-six million, six hundred forty-eight thousand, four hundred forty-eight".