67993351272 has 768 divisors, whose sum is σ = 251194245120. Its totient is φ = 16092172800.

The previous prime is 67993351259. The next prime is 67993351277. The reversal of 67993351272 is 27215339976.

67993351272 is a `hidden beast` number, since 6 + 7 + 99 + 33 + 512 + 7 + 2 = 666.

67993351272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×67993351272³ (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (67993351277) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 407145733 + ... + 407145899.

It is an arithmetic number, because the mean of its divisors is an integer number (327075840).

Almost surely, 2^67993351272 is an apocalyptic number.

67993351272 is a gapful number since it is divisible by the number (62) 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 67993351272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125597122560).

67993351272 is an abundant number, since it is smaller than the sum of its proper divisors (183200893848).

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

67993351272 is a wasteful number, since it uses less digits than its factorization.

67993351272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 347 counting only the distinct ones).

The product of its digits is 4286520, while the sum is 54.

The spelling of 67993351272 in words is "sixty-seven billion, nine hundred ninety-three million, three hundred fifty-one thousand, two hundred seventy-two".