67138554240 has 1280 divisors, whose sum is σ = 273518467200. Its totient is φ = 15606743040.

The previous prime is 67138554239. The next prime is 67138554281. The reversal of 67138554240 is 4245583176.

67138554240 is a `hidden beast` number, since 6 + 71 + 3 + 8 + 554 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 945613405 + ... + 945613475.

Almost surely, 2^67138554240 is an apocalyptic number.

67138554240 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 67138554240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136759233600).

67138554240 is an abundant number, since it is smaller than the sum of its proper divisors (206379912960).

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

67138554240 is a wasteful number, since it uses less digits than its factorization.

67138554240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 67138554240 in words is "sixty-seven billion, one hundred thirty-eight million, five hundred fifty-four thousand, two hundred forty".