67898966688000 has 4608 divisors, whose sum is σ = 318079543541760. Its totient is φ = 14081900544000.

The previous prime is 67898966687987. The next prime is 67898966688023. The reversal of 67898966688000 is 88666989876.

It is a super-2 number, since 2×67898966688000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 258170975869 + ... + 258170976131.

It is an arithmetic number, because the mean of its divisors is an integer number (69027678720).

Almost surely, 2^{67898966688000} is an apocalyptic number.

67898966688000 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 67898966688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159039771770880).

67898966688000 is an abundant number, since it is smaller than the sum of its proper divisors (250180576853760).

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

67898966688000 is an equidigital number, since it uses as much as digits as its factorization.

67898966688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 3009871872, while the sum is 81.

The spelling of 67898966688000 in words is "sixty-seven trillion, eight hundred ninety-eight billion, nine hundred sixty-six million, six hundred eighty-eight thousand".