67730104495872 has 4320 divisors, whose sum is σ = 281627042457600. Its totient is φ = 15977403187200.

The previous prime is 67730104495751. The next prime is 67730104495877. The reversal of 67730104495872 is 27859440103776.

67730104495872 is a `hidden beast` number, since 6 + 7 + 7 + 3 + 0 + 1 + 0 + 4 + 49 + 587 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67730104495877) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1651953768172 + ... + 1651953768212.

It is a 2-persistent number, because it is pandigital, and so is 2⋅67730104495872 = 135460208991744, but 3⋅67730104495872 = 203190313487616 is not.

Almost surely, 2^{67730104495872} is an apocalyptic number.

67730104495872 is a gapful number since it is divisible by the number (62) 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 67730104495872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140813521228800).

67730104495872 is an abundant number, since it is smaller than the sum of its proper divisors (213896937961728).

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

67730104495872 is a wasteful number, since it uses less digits than its factorization.

67730104495872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 116 counting only the distinct ones).

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

The spelling of 67730104495872 in words is "sixty-seven trillion, seven hundred thirty billion, one hundred four million, four hundred ninety-five thousand, eight hundred seventy-two".