67867718400 has 432 divisors, whose sum is σ = 251491716000. Its totient is φ = 17907056640.

The previous prime is 67867718381. The next prime is 67867718459. The reversal of 67867718400 is 481776876.

67867718400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (432).

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

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, 16759576 + ... + 16763624.

It is an arithmetic number, because the mean of its divisors is an integer number (582156750).

Almost surely, 2^67867718400 is an apocalyptic number.

67867718400 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 67867718400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125745858000).

67867718400 is an abundant number, since it is smaller than the sum of its proper divisors (183623997600).

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

67867718400 is a wasteful number, since it uses less digits than its factorization.

67867718400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4181 (or 4156 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 67867718400 in words is "sixty-seven billion, eight hundred sixty-seven million, seven hundred eighteen thousand, four hundred".