634457772768 has 48 divisors (see below), whose sum is σ = 1665633440016. Its totient is φ = 211462840320.

The previous prime is 634457772761. The next prime is 634457772797. The reversal of 634457772768 is 867277754436.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×634457772768² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 634457772699 and 634457772708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (634457772761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 534930 + ... + 1247022.

It is an arithmetic number, because the mean of its divisors is an integer number (34700696667).

Almost surely, 2^634457772768 is an apocalyptic number.

It is an amenable number.

634457772768 is an abundant number, since it is smaller than the sum of its proper divisors (1031175667248).

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

634457772768 is a wasteful number, since it uses less digits than its factorization.

634457772768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721387 (or 721379 counting only the distinct ones).

The product of its digits is 331914240, while the sum is 66.

The spelling of 634457772768 in words is "six hundred thirty-four billion, four hundred fifty-seven million, seven hundred seventy-two thousand, seven hundred sixty-eight".