634676474880 has 1584 divisors, whose sum is σ = 2689225059456. Its totient is φ = 137859563520.

The previous prime is 634676474819. The next prime is 634676474899. The reversal of 634676474880 is 88474676436.

It is a happy number.

634676474880 is a `hidden beast` number, since 6 + 3 + 46 + 76 + 47 + 488 + 0 = 666.

It is a super-2 number, since 2×634676474880² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5931555787 + ... + 5931555893.

Almost surely, 2^634676474880 is an apocalyptic number.

634676474880 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 634676474880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344612529728).

634676474880 is an abundant number, since it is smaller than the sum of its proper divisors (2054548584576).

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

634676474880 is a wasteful number, since it uses less digits than its factorization.

634676474880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 130056192, while the sum is 63.

The spelling of 634676474880 in words is "six hundred thirty-four billion, six hundred seventy-six million, four hundred seventy-four thousand, eight hundred eighty".