3163225040640 has 864 divisors, whose sum is σ = 12984591040512. Its totient is φ = 695734272000.

The previous prime is 3163225040597. The next prime is 3163225040681. The reversal of 3163225040640 is 460405223613.

3163225040640 is a `hidden beast` number, since 3 + 1 + 6 + 3 + 2 + 2 + 5 + 0 + 4 + 0 + 640 = 666.

3163225040640 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 a junction number, because it is equal to n+sod(n) for n = 3163225040595 and 3163225040604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 452467545 + ... + 452474535.

Almost surely, 2^{3163225040640} is an apocalyptic number.

3163225040640 is a gapful number since it is divisible by the number (30) 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 3163225040640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6492295520256).

3163225040640 is an abundant number, since it is smaller than the sum of its proper divisors (9821365999872).

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

3163225040640 is a wasteful number, since it uses less digits than its factorization.

3163225040640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7237 (or 7220 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 3163225040640 in words is "three trillion, one hundred sixty-three billion, two hundred twenty-five million, forty thousand, six hundred forty".