67260672000 has 768 divisors, whose sum is σ = 256345689600. Its totient is φ = 17385062400.

The previous prime is 67260671941. The next prime is 67260672029. The reversal of 67260672000 is 27606276.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 255743869 + ... + 255744131.

It is an arithmetic number, because the mean of its divisors is an integer number (333783450).

Almost surely, 2^67260672000 is an apocalyptic number.

67260672000 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 67260672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128172844800).

67260672000 is an abundant number, since it is smaller than the sum of its proper divisors (189085017600).

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

67260672000 is a wasteful number, since it uses less digits than its factorization.

67260672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 67260672000 in words is "sixty-seven billion, two hundred sixty million, six hundred seventy-two thousand".