67890208320 has 560 divisors, whose sum is σ = 271985573376. Its totient is φ = 15925248000.

The previous prime is 67890208291. The next prime is 67890208327. The reversal of 67890208320 is 2380209876.

67890208320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (67890208327) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8834880 + ... + 8842560.

Almost surely, 2^67890208320 is an apocalyptic number.

67890208320 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 67890208320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135992786688).

67890208320 is an abundant number, since it is smaller than the sum of its proper divisors (204095365056).

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

67890208320 is a wasteful number, since it uses less digits than its factorization.

67890208320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7752 (or 7733 counting only the distinct ones).

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

The spelling of 67890208320 in words is "sixty-seven billion, eight hundred ninety million, two hundred eight thousand, three hundred twenty".