67949285040 has 480 divisors, whose sum is σ = 295644410880. Its totient is φ = 13581748224.

The previous prime is 67949284987. The next prime is 67949285077. The reversal of 67949285040 is 4058294976.

67949285040 is a `hidden beast` number, since 6 + 79 + 49 + 28 + 504 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1217589 + ... + 1272171.

It is an arithmetic number, because the mean of its divisors is an integer number (615925856).

Almost surely, 2^67949285040 is an apocalyptic number.

67949285040 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 67949285040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147822205440).

67949285040 is an abundant number, since it is smaller than the sum of its proper divisors (227695125840).

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

67949285040 is a wasteful number, since it uses less digits than its factorization.

67949285040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54641 (or 54632 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 67949285040 in words is "sixty-seven billion, nine hundred forty-nine million, two hundred eighty-five thousand, forty".