67403702016 has 864 divisors, whose sum is σ = 255683796480. Its totient is φ = 17095753728.

The previous prime is 67403701991. The next prime is 67403702021. The reversal of 67403702016 is 61020730476.

67403702016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 296932495 + ... + 296932721.

It is an arithmetic number, because the mean of its divisors is an integer number (295930320).

Almost surely, 2^67403702016 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 67403702016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127841898240).

67403702016 is an abundant number, since it is smaller than the sum of its proper divisors (188280094464).

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

67403702016 is a wasteful number, since it uses less digits than its factorization.

67403702016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 67403702016 in words is "sixty-seven billion, four hundred three million, seven hundred two thousand, sixteen".