67638138750 has 480 divisors, whose sum is σ = 233831549952. Its totient is φ = 14265072000.

The previous prime is 67638138739. The next prime is 67638138787. The reversal of 67638138750 is 5783183676.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 27640027 + ... + 27642473.

Almost surely, 2^67638138750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67638138750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116915774976).

67638138750 is an abundant number, since it is smaller than the sum of its proper divisors (166193411202).

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

67638138750 is a wasteful number, since it uses less digits than its factorization.

67638138750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2504 (or 2477 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 67638138750 in words is "sixty-seven billion, six hundred thirty-eight million, one hundred thirty-eight thousand, seven hundred fifty".