67245564960000 has 2160 divisors, whose sum is σ = 288753181004288. Its totient is φ = 15284505600000.

The previous prime is 67245564959981. The next prime is 67245564960017. The reversal of 67245564960000 is 6946554276.

67245564960000 is a `hidden beast` number, since 6 + 7 + 24 + 5 + 5 + 6 + 4 + 9 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 57425759415 + ... + 57425760585.

Almost surely, 2^{67245564960000} is an apocalyptic number.

67245564960000 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 67245564960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144376590502144).

67245564960000 is an abundant number, since it is smaller than the sum of its proper divisors (221507616044288).

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

67245564960000 is an equidigital number, since it uses as much as digits as its factorization.

67245564960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 67245564960000 in words is "sixty-seven trillion, two hundred forty-five billion, five hundred sixty-four million, nine hundred sixty thousand".