67427640 has 192 divisors, whose sum is σ = 259983360. Its totient is φ = 15396480.

The previous prime is 67427629. The next prime is 67427663. The reversal of 67427640 is 4672476.

67427640 is a `hidden beast` number, since 6 + 7 + 4 + 2 + 7 + 640 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 67427595 and 67427604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67545 + ... + 68535.

It is an arithmetic number, because the mean of its divisors is an integer number (1354080).

Almost surely, 2^67427640 is an apocalyptic number.

67427640 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 67427640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129991680).

67427640 is an abundant number, since it is smaller than the sum of its proper divisors (192555720).

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

67427640 is a wasteful number, since it uses less digits than its factorization.

67427640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 67427640 is about 8211.4334923934. The cubic root of 67427640 is about 407.0170976846.

The spelling of 67427640 in words is "sixty-seven million, four hundred twenty-seven thousand, six hundred forty".