67016678400 has 1320 divisors, whose sum is σ = 299760714880. Its totient is φ = 14511882240.

The previous prime is 67016678341. The next prime is 67016678429. The reversal of 67016678400 is 487661076.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3527193591 + ... + 3527193609.

Almost surely, 2^67016678400 is an apocalyptic number.

67016678400 is a gapful number since it is divisible by the number (60) 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 67016678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149880357440).

67016678400 is an abundant number, since it is smaller than the sum of its proper divisors (232744036480).

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

67016678400 is an frugal number, since it uses more digits than its factorization.

67016678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 67016678400 in words is "sixty-seven billion, sixteen million, six hundred seventy-eight thousand, four hundred".