67838394624 has 576 divisors, whose sum is σ = 245703843840. Its totient is φ = 16044687360.

The previous prime is 67838394619. The next prime is 67838394629. The reversal of 67838394624 is 42649383876.

67838394624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (67838394619) and next prime (67838394629).

It is not an unprimeable number, because it can be changed into a prime (67838394629) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60732114 + ... + 60733230.

Almost surely, 2^67838394624 is an apocalyptic number.

67838394624 is a gapful number since it is divisible by the number (64) 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 67838394624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122851921920).

67838394624 is an abundant number, since it is smaller than the sum of its proper divisors (177865449216).

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

67838394624 is a wasteful number, since it uses less digits than its factorization.

67838394624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246 (or 1232 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 60.

The spelling of 67838394624 in words is "sixty-seven billion, eight hundred thirty-eight million, three hundred ninety-four thousand, six hundred twenty-four".