67085366400 has 960 divisors, whose sum is σ = 273392085120. Its totient is φ = 16094453760.

The previous prime is 67085366371. The next prime is 67085366401. The reversal of 67085366400 is 466358076.

67085366400 is a `hidden beast` number, since 6 + 70 + 8 + 536 + 6 + 40 + 0 = 666.

67085366400 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 (960).

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

It is not an unprimeable number, because it can be changed into a prime (67085366401) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 144892569 + ... + 144893031.

It is an arithmetic number, because the mean of its divisors is an integer number (284783422).

Almost surely, 2^67085366400 is an apocalyptic number.

67085366400 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 67085366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136696042560).

67085366400 is an abundant number, since it is smaller than the sum of its proper divisors (206306718720).

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

67085366400 is a wasteful number, since it uses less digits than its factorization.

67085366400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 67085366400 in words is "sixty-seven billion, eighty-five million, three hundred sixty-six thousand, four hundred".