67993582464 has 160 divisors (see below), whose sum is σ = 203483788200. Its totient is φ = 22537294848.

The previous prime is 67993582441. The next prime is 67993582519. The reversal of 67993582464 is 46428539976.

67993582464 is a `hidden beast` number, since 6 + 7 + 9 + 9 + 3 + 582 + 46 + 4 = 666.

It is a super-2 number, since 2×67993582464² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1837554 + ... + 1874190.

Almost surely, 2^67993582464 is an apocalyptic number.

67993582464 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 67993582464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101741894100).

67993582464 is an abundant number, since it is smaller than the sum of its proper divisors (135490205736).

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

67993582464 is a wasteful number, since it uses less digits than its factorization.

67993582464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36842 (or 36821 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 63.

The spelling of 67993582464 in words is "sixty-seven billion, nine hundred ninety-three million, five hundred eighty-two thousand, four hundred sixty-four".