67434638400 has 504 divisors, whose sum is σ = 259396772544. Its totient is φ = 17198438400.

The previous prime is 67434638389. The next prime is 67434638431. The reversal of 67434638400 is 483643476.

67434638400 is a `hidden beast` number, since 6 + 7 + 4 + 3 + 4 + 638 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×67434638400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 71 ways as a sum of consecutive naturals, for example, 8938630 + ... + 8946170.

It is an arithmetic number, because the mean of its divisors is an integer number (514676136).

Almost surely, 2^67434638400 is an apocalyptic number.

67434638400 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 67434638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129698386272).

67434638400 is an abundant number, since it is smaller than the sum of its proper divisors (191962134144).

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

67434638400 is a wasteful number, since it uses less digits than its factorization.

67434638400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7601 (or 7574 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 67434638400 in words is "sixty-seven billion, four hundred thirty-four million, six hundred thirty-eight thousand, four hundred".