2068263997632 has 672 divisors, whose sum is σ = 7435323777024. Its totient is φ = 536039424000.

The previous prime is 2068263997609. The next prime is 2068263997669. The reversal of 2068263997632 is 2367993628602.

2068263997632 is a `hidden beast` number, since 206 + 8 + 2 + 6 + 399 + 7 + 6 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 2068263997632.

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, 558837382 + ... + 558841082.

Almost surely, 2^{2068263997632} 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 2068263997632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3717661888512).

2068263997632 is an abundant number, since it is smaller than the sum of its proper divisors (5367059779392).

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

2068263997632 is a wasteful number, since it uses less digits than its factorization.

2068263997632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4037 (or 4024 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 63.

The spelling of 2068263997632 in words is "two trillion, sixty-eight billion, two hundred sixty-three million, nine hundred ninety-seven thousand, six hundred thirty-two".