67065400400 has 60 divisors (see below), whose sum is σ = 161448000000. Its totient is φ = 26772320640.

The previous prime is 67065400399. The next prime is 67065400421. The reversal of 67065400400 is 400456076.

67065400400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31601 + ... + 367599.

It is an arithmetic number, because the mean of its divisors is an integer number (2690800000).

Almost surely, 2^67065400400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67065400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80724000000).

67065400400 is an abundant number, since it is smaller than the sum of its proper divisors (94382599600).

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

67065400400 is a wasteful number, since it uses less digits than its factorization.

67065400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336516 (or 336505 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

Adding to 67065400400 its reverse (400456076), we get a palindrome (67465856476).

The spelling of 67065400400 in words is "sixty-seven billion, sixty-five million, four hundred thousand, four hundred".