67996978867200 has 2112 divisors, whose sum is σ = 248588145340416. Its totient is φ = 16349921280000.

The previous prime is 67996978867187. The next prime is 67996978867201. The reversal of 67996978867200 is 276887969976.

It is not an unprimeable number, because it can be changed into a prime (67996978867201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 241982131060 + ... + 241982131340.

Almost surely, 2^{67996978867200} is an apocalyptic number.

67996978867200 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 67996978867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124294072670208).

67996978867200 is an abundant number, since it is smaller than the sum of its proper divisors (180591166473216).

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

67996978867200 is a wasteful number, since it uses less digits than its factorization.

67996978867200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 6913299456, while the sum is 84.

The spelling of 67996978867200 in words is "sixty-seven trillion, nine hundred ninety-six billion, nine hundred seventy-eight million, eight hundred sixty-seven thousand, two hundred".