633968197632 has 1224 divisors, whose sum is σ = 2436637152768. Its totient is φ = 161163509760.

The previous prime is 633968197601. The next prime is 633968197699. The reversal of 633968197632 is 236791869336.

It is a super-2 number, since 2×633968197632² (a number of 24 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 633968197632.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13488685033 + ... + 13488685079.

Almost surely, 2^633968197632 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 633968197632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218318576384).

633968197632 is an abundant number, since it is smaller than the sum of its proper divisors (1802668955136).

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

633968197632 is an frugal number, since it uses more digits than its factorization.

633968197632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 70 counting only the distinct ones).

The product of its digits is 52907904, while the sum is 63.

The spelling of 633968197632 in words is "six hundred thirty-three billion, nine hundred sixty-eight million, one hundred ninety-seven thousand, six hundred thirty-two".