67574870964 has 288 divisors, whose sum is σ = 194987520000. Its totient is φ = 19626064128.

The previous prime is 67574870947. The next prime is 67574870969. The reversal of 67574870964 is 46907847576.

67574870964 is a `hidden beast` number, since 67 + 5 + 7 + 487 + 0 + 96 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67574870969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43624062 + ... + 43625610.

It is an arithmetic number, because the mean of its divisors is an integer number (677040000).

Almost surely, 2^67574870964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67574870964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97493760000).

67574870964 is an abundant number, since it is smaller than the sum of its proper divisors (127412649036).

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

67574870964 is a wasteful number, since it uses less digits than its factorization.

67574870964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1707 (or 1702 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 67574870964 in words is "sixty-seven billion, five hundred seventy-four million, eight hundred seventy thousand, nine hundred sixty-four".