67002000976 has 80 divisors (see below), whose sum is σ = 138163379200. Its totient is φ = 31387824000.

The previous prime is 67002000937. The next prime is 67002000977. The reversal of 67002000976 is 67900020076.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67002000977) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 11448451 + ... + 11454301.

It is an arithmetic number, because the mean of its divisors is an integer number (1727042240).

Almost surely, 2^67002000976 is an apocalyptic number.

67002000976 is the 163710-th centered pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67002000976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69081689600).

67002000976 is an abundant number, since it is smaller than the sum of its proper divisors (71161378224).

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

67002000976 is a wasteful number, since it uses less digits than its factorization.

67002000976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6288 (or 6282 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 37.

The spelling of 67002000976 in words is "sixty-seven billion, two million, nine hundred seventy-six", and thus it is an aban number.