67394187840 has 448 divisors, whose sum is σ = 256277790720. Its totient is φ = 14671134720.

The previous prime is 67394187827. The next prime is 67394187893. The reversal of 67394187840 is 4878149376.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×67394187840² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41884956 + ... + 41886564.

It is an arithmetic number, because the mean of its divisors is an integer number (572048640).

Almost surely, 2^67394187840 is an apocalyptic number.

67394187840 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 67394187840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128138895360).

67394187840 is an abundant number, since it is smaller than the sum of its proper divisors (188883602880).

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

67394187840 is a wasteful number, since it uses less digits than its factorization.

67394187840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1930 (or 1920 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 57.

The spelling of 67394187840 in words is "sixty-seven billion, three hundred ninety-four million, one hundred eighty-seven thousand, eight hundred forty".