67366871040 has 672 divisors, whose sum is σ = 262664838144. Its totient is φ = 14438891520.

The previous prime is 67366871027. The next prime is 67366871041. The reversal of 67366871040 is 4017866376.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67366871041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 248586105 + ... + 248586375.

Almost surely, 2^67366871040 is an apocalyptic number.

67366871040 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 67366871040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131332419072).

67366871040 is an abundant number, since it is smaller than the sum of its proper divisors (195297967104).

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

67366871040 is a wasteful number, since it uses less digits than its factorization.

67366871040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 67366871040 in words is "sixty-seven billion, three hundred sixty-six million, eight hundred seventy-one thousand, forty".