633742626816 has 624 divisors, whose sum is σ = 2109774086784. Its totient is φ = 181561982976.

The previous prime is 633742626787. The next prime is 633742626827. The reversal of 633742626816 is 618626247336.

633742626816 is a `hidden beast` number, since 6 + 3 + 3 + 7 + 4 + 2 + 626 + 8 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 871722645 + ... + 871723371.

It is an arithmetic number, because the mean of its divisors is an integer number (3381048216).

Almost surely, 2^633742626816 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 633742626816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054887043392).

633742626816 is an abundant number, since it is smaller than the sum of its proper divisors (1476031459968).

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

633742626816 is a wasteful number, since it uses less digits than its factorization.

633742626816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 869 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 54.

The spelling of 633742626816 in words is "six hundred thirty-three billion, seven hundred forty-two million, six hundred twenty-six thousand, eight hundred sixteen".