67337007072 has 96 divisors (see below), whose sum is σ = 187402898592. Its totient is φ = 21097611264.

The previous prime is 67337007043. The next prime is 67337007077. The reversal of 67337007072 is 27070073376.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×67337007072³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67337007077) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1234848 + ... + 1288224.

It is an arithmetic number, because the mean of its divisors is an integer number (1952113527).

Almost surely, 2^67337007072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67337007072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93701449296).

67337007072 is an abundant number, since it is smaller than the sum of its proper divisors (120065891520).

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

67337007072 is a wasteful number, since it uses less digits than its factorization.

67337007072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54180 (or 54172 counting only the distinct ones).

The product of its (nonzero) digits is 259308, while the sum is 42.

The spelling of 67337007072 in words is "sixty-seven billion, three hundred thirty-seven million, seven thousand, seventy-two".