67727696400 has 2160 divisors, whose sum is σ = 327752355840. Its totient is φ = 13101004800.

The previous prime is 67727696383. The next prime is 67727696459. The reversal of 67727696400 is 469672776.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2160).

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 polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 2184764385 + ... + 2184764415.

Almost surely, 2^67727696400 is an apocalyptic number.

67727696400 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 67727696400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163876177920).

67727696400 is an abundant number, since it is smaller than the sum of its proper divisors (260024659440).

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

67727696400 is a wasteful number, since it uses less digits than its factorization.

67727696400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 67727696400 in words is "sixty-seven billion, seven hundred twenty-seven million, six hundred ninety-six thousand, four hundred".