67125290976000 has 2880 divisors, whose sum is σ = 279016611793920. Its totient is φ = 15938253619200.

The previous prime is 67125290975999. The next prime is 67125290976019. The reversal of 67125290976000 is 67909252176.

67125290976000 is a `hidden beast` number, since 6 + 7 + 1 + 2 + 5 + 29 + 0 + 9 + 7 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×67125290976000² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 108441503691 + ... + 108441504309.

It is an arithmetic number, because the mean of its divisors is an integer number (96880767984).

Almost surely, 2^{67125290976000} is an apocalyptic number.

67125290976000 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 67125290976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139508305896960).

67125290976000 is an abundant number, since it is smaller than the sum of its proper divisors (211891320817920).

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

67125290976000 is a wasteful number, since it uses less digits than its factorization.

67125290976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 67125290976000 in words is "sixty-seven trillion, one hundred twenty-five billion, two hundred ninety million, nine hundred seventy-six thousand".