67725310464 has 400 divisors, whose sum is σ = 244626896448. Its totient is φ = 18210521088.

The previous prime is 67725310391. The next prime is 67725310483. The reversal of 67725310464 is 46401352776.

67725310464 is a `hidden beast` number, since 6 + 7 + 72 + 531 + 0 + 46 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4928307 + ... + 4942029.

Almost surely, 2^67725310464 is an apocalyptic number.

67725310464 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 67725310464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122313448224).

67725310464 is an abundant number, since it is smaller than the sum of its proper divisors (176901585984).

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

67725310464 is a wasteful number, since it uses less digits than its factorization.

67725310464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13777 (or 13752 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 67725310464 in words is "sixty-seven billion, seven hundred twenty-five million, three hundred ten thousand, four hundred sixty-four".