633676920768 has 448 divisors, whose sum is σ = 1982035883520. Its totient is φ = 198247440384.

The previous prime is 633676920757. The next prime is 633676920769. The reversal of 633676920768 is 867029676336.

It is a happy number.

633676920768 is a `hidden beast` number, since 6 + 3 + 367 + 6 + 9 + 207 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (633676920769) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 228186196 + ... + 228188972.

It is an arithmetic number, because the mean of its divisors is an integer number (4424187240).

Almost surely, 2^633676920768 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 633676920768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991017941760).

633676920768 is an abundant number, since it is smaller than the sum of its proper divisors (1348358962752).

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

633676920768 is a wasteful number, since it uses less digits than its factorization.

633676920768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2961 (or 2945 counting only the distinct ones).

The product of its (nonzero) digits is 82301184, while the sum is 63.

The spelling of 633676920768 in words is "six hundred thirty-three billion, six hundred seventy-six million, nine hundred twenty thousand, seven hundred sixty-eight".