67965714432 has 768 divisors, whose sum is σ = 254196109440. Its totient is φ = 16986931200.

The previous prime is 67965714409. The next prime is 67965714433. The reversal of 67965714432 is 23441756976.

67965714432 is a `hidden beast` number, since 6 + 79 + 65 + 71 + 443 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

Its product of digits (7620480) is a multiple of the sum of its prime factors (168).

It is not an unprimeable number, because it can be changed into a prime (67965714433) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 931037148 + ... + 931037220.

Almost surely, 2^67965714432 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 67965714432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127098054720).

67965714432 is an abundant number, since it is smaller than the sum of its proper divisors (186230395008).

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

67965714432 is a wasteful number, since it uses less digits than its factorization.

67965714432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 137 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The spelling of 67965714432 in words is "sixty-seven billion, nine hundred sixty-five million, seven hundred fourteen thousand, four hundred thirty-two".