634416976512 has 320 divisors, whose sum is σ = 2061438841440. Its totient is φ = 192080885760.

The previous prime is 634416976511. The next prime is 634416976537. The reversal of 634416976512 is 215679614436.

It is a happy number.

634416976512 is a `hidden beast` number, since 6 + 3 + 44 + 16 + 9 + 76 + 512 = 666.

It is a super-2 number, since 2×634416976512² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (634416976511) 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 39 ways as a sum of consecutive naturals, for example, 217488078 + ... + 217490994.

Almost surely, 2^634416976512 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 634416976512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030719420720).

634416976512 is an abundant number, since it is smaller than the sum of its proper divisors (1427021864928).

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

634416976512 is a wasteful number, since it uses less digits than its factorization.

634416976512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4861 (or 4840 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 634416976512 in words is "six hundred thirty-four billion, four hundred sixteen million, nine hundred seventy-six thousand, five hundred twelve".