67004746560 has 672 divisors, whose sum is σ = 258613534080. Its totient is φ = 16266313728.

The previous prime is 67004746537. The next prime is 67004746561. The reversal of 67004746560 is 6564740076.

It is a happy number.

67004746560 is a `hidden beast` number, since 6 + 7 + 0 + 0 + 47 + 46 + 560 = 666.

67004746560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67004746561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 650531469 + ... + 650531571.

Almost surely, 2^67004746560 is an apocalyptic number.

67004746560 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 67004746560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129306767040).

67004746560 is an abundant number, since it is smaller than the sum of its proper divisors (191608787520).

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

67004746560 is a wasteful number, since it uses less digits than its factorization.

67004746560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 67004746560 in words is "sixty-seven billion, four million, seven hundred forty-six thousand, five hundred sixty".