64067431680 has 288 divisors, whose sum is σ = 259830009600. Its totient is φ = 14643929088.

The previous prime is 64067431627. The next prime is 64067431699. The reversal of 64067431680 is 8613476046.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 109506 + ... + 374334.

Almost surely, 2^64067431680 is an apocalyptic number.

64067431680 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 64067431680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129915004800).

64067431680 is an abundant number, since it is smaller than the sum of its proper divisors (195762577920).

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

64067431680 is a wasteful number, since it uses less digits than its factorization.

64067431680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264866 (or 264846 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 64067431680 in words is "sixty-four billion, sixty-seven million, four hundred thirty-one thousand, six hundred eighty".