67893721620480 has 1960 divisors, whose sum is σ = 285289829690472. Its totient is φ = 15502177861632.

The previous prime is 67893721620467. The next prime is 67893721620499. The reversal of 67893721620480 is 8402612739876.

67893721620480 is a `hidden beast` number, since 6 + 7 + 8 + 93 + 7 + 2 + 1 + 62 + 0 + 480 = 666.

67893721620480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1960).

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

It is a congruent number.

It is an unprimeable number.

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 139 ways as a sum of consecutive naturals, for example, 71693475367 + ... + 71693476313.

Almost surely, 2^{67893721620480} is an apocalyptic number.

67893721620480 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 67893721620480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142644914845236).

67893721620480 is an abundant number, since it is smaller than the sum of its proper divisors (217396108069992).

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

67893721620480 is an frugal number, since it uses more digits than its factorization.

67893721620480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 67893721620480 in words is "sixty-seven trillion, eight hundred ninety-three billion, seven hundred twenty-one million, six hundred twenty thousand, four hundred eighty".