67849420800 has 912 divisors, whose sum is σ = 280850060160. Its totient is φ = 14092861440.

The previous prime is 67849420799. The next prime is 67849420867. The reversal of 67849420800 is 802494876.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 67849420800.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2339635186 + ... + 2339635214.

Almost surely, 2^67849420800 is an apocalyptic number.

67849420800 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 67849420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140425030080).

67849420800 is an abundant number, since it is smaller than the sum of its proper divisors (213000639360).

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

67849420800 is an equidigital number, since it uses as much as digits as its factorization.

67849420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 67849420800 in words is "sixty-seven billion, eight hundred forty-nine million, four hundred twenty thousand, eight hundred".