67364640 has 288 divisors, whose sum is σ = 270781056. Its totient is φ = 14929920.

The previous prime is 67364629. The next prime is 67364641. The reversal of 67364640 is 4646376.

67364640 is a `hidden beast` number, since 6 + 7 + 3 + 6 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 67364595 and 67364604.

It is not an unprimeable number, because it can be changed into a prime (67364641) 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, 413199 + ... + 413361.

It is an arithmetic number, because the mean of its divisors is an integer number (940212).

Almost surely, 2^67364640 is an apocalyptic number.

67364640 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 67364640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135390528).

67364640 is an abundant number, since it is smaller than the sum of its proper divisors (203416416).

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

67364640 is a wasteful number, since it uses less digits than its factorization.

67364640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 67364640 is about 8207.5964813093. The cubic root of 67364640 is about 406.8902947523.

The spelling of 67364640 in words is "sixty-seven million, three hundred sixty-four thousand, six hundred forty".