67806632400 has 240 divisors, whose sum is σ = 234259756416. Its totient is φ = 16666306560.

The previous prime is 67806632371. The next prime is 67806632417. The reversal of 67806632400 is 423660876.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 12055989 + ... + 12061611.

Almost surely, 2^67806632400 is an apocalyptic number.

67806632400 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 67806632400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117129878208).

67806632400 is an abundant number, since it is smaller than the sum of its proper divisors (166453124016).

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

67806632400 is a wasteful number, since it uses less digits than its factorization.

67806632400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6430 (or 6419 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 67806632400 in words is "sixty-seven billion, eight hundred six million, six hundred thirty-two thousand, four hundred".