633674220768 has 120 divisors (see below), whose sum is σ = 1866886421400. Its totient is φ = 210854327040.

The previous prime is 633674220709. The next prime is 633674220787. The reversal of 633674220768 is 867022476336.

633674220768 is a `hidden beast` number, since 6 + 336 + 7 + 42 + 207 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1265958 + ... + 1694106.

It is an arithmetic number, because the mean of its divisors is an integer number (15557386845).

Almost surely, 2^633674220768 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 633674220768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933443210700).

633674220768 is an abundant number, since it is smaller than the sum of its proper divisors (1233212200632).

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

633674220768 is a wasteful number, since it uses less digits than its factorization.

633674220768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428742 (or 428725 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 54.

The spelling of 633674220768 in words is "six hundred thirty-three billion, six hundred seventy-four million, two hundred twenty thousand, seven hundred sixty-eight".