67431204864 has 192 divisors, whose sum is σ = 200124288000. Its totient is φ = 22434693120.

The previous prime is 67431204859. The next prime is 67431204881. The reversal of 67431204864 is 46840213476.

67431204864 is a `hidden beast` number, since 6 + 7 + 43 + 120 + 486 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45839649 + ... + 45841119.

It is an arithmetic number, because the mean of its divisors is an integer number (1042314000).

Almost surely, 2^67431204864 is an apocalyptic number.

67431204864 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 67431204864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100062144000).

67431204864 is an abundant number, since it is smaller than the sum of its proper divisors (132693083136).

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

67431204864 is a wasteful number, since it uses less digits than its factorization.

67431204864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2331 (or 2305 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 67431204864 in words is "sixty-seven billion, four hundred thirty-one million, two hundred four thousand, eight hundred sixty-four".