638681434632024 has 128 divisors (see below), whose sum is σ = 1854877535001600. Its totient is φ = 179473577955840.

The previous prime is 638681434632019. The next prime is 638681434632047. The reversal of 638681434632024 is 420236434186836.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117437274 + ... + 122755350.

It is an arithmetic number, because the mean of its divisors is an integer number (14491230742200).

Almost surely, 2^{638681434632024} 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 638681434632024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927438767500800).

638681434632024 is an abundant number, since it is smaller than the sum of its proper divisors (1216196100369576).

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

638681434632024 is a wasteful number, since it uses less digits than its factorization.

638681434632024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5329873 (or 5329869 counting only the distinct ones).

The product of its (nonzero) digits is 95551488, while the sum is 60.

The spelling of 638681434632024 in words is "six hundred thirty-eight trillion, six hundred eighty-one billion, four hundred thirty-four million, six hundred thirty-two thousand, twenty-four".