67400064 has 96 divisors (see below), whose sum is σ = 198820440. Its totient is φ = 21903360.

The previous prime is 67400063. The next prime is 67400071. The reversal of 67400064 is 46000476.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67400063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46519 + ... + 47945.

Almost surely, 2^67400064 is an apocalyptic number.

67400064 is a gapful number since it is divisible by the number (64) 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 67400064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99410220).

67400064 is an abundant number, since it is smaller than the sum of its proper divisors (131420376).

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

67400064 is a wasteful number, since it uses less digits than its factorization.

67400064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488 (or 1473 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 67400064 is about 8209.7541985129. The cubic root of 67400064 is about 406.9616039537.

The spelling of 67400064 in words is "sixty-seven million, four hundred thousand, sixty-four".