67428902016 has 384 divisors, whose sum is σ = 232625802240. Its totient is φ = 18329794560.

The previous prime is 67428901999. The next prime is 67428902029. The reversal of 67428902016 is 61020982476.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39133731 + ... + 39135453.

It is an arithmetic number, because the mean of its divisors is an integer number (605796360).

Almost surely, 2^67428902016 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 67428902016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116312901120).

67428902016 is an abundant number, since it is smaller than the sum of its proper divisors (165196900224).

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

67428902016 is a wasteful number, since it uses less digits than its factorization.

67428902016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1984 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 67428902016 in words is "sixty-seven billion, four hundred twenty-eight million, nine hundred two thousand, sixteen".