67883235840 has 1440 divisors, whose sum is σ = 302586508224. Its totient is φ = 14491975680.

The previous prime is 67883235779. The next prime is 67883235881. The reversal of 67883235840 is 4853238876.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 518192575 + ... + 518192705.

Almost surely, 2^67883235840 is an apocalyptic number.

67883235840 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 67883235840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151293254112).

67883235840 is an abundant number, since it is smaller than the sum of its proper divisors (234703272384).

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

67883235840 is a wasteful number, since it uses less digits than its factorization.

67883235840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 67883235840 in words is "sixty-seven billion, eight hundred eighty-three million, two hundred thirty-five thousand, eight hundred forty".