67545878400 has 2304 divisors, whose sum is σ = 339128294400. Its totient is φ = 12773376000.

The previous prime is 67545878377. The next prime is 67545878417. The reversal of 67545878400 is 487854576.

67545878400 is a `hidden beast` number, since 6 + 7 + 54 + 587 + 8 + 4 + 0 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 951350365 + ... + 951350435.

It is an arithmetic number, because the mean of its divisors is an integer number (147191100).

Almost surely, 2^67545878400 is an apocalyptic number.

67545878400 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 67545878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169564147200).

67545878400 is an abundant number, since it is smaller than the sum of its proper divisors (271582416000).

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

67545878400 is a wasteful number, since it uses less digits than its factorization.

67545878400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 67545878400 in words is "sixty-seven billion, five hundred forty-five million, eight hundred seventy-eight thousand, four hundred".