67890324960 has 480 divisors, whose sum is σ = 245997259200. Its totient is φ = 17627258880.

The previous prime is 67890324949. The next prime is 67890324979. The reversal of 67890324960 is 6942309876.

It is a happy number.

67890324960 is a `hidden beast` number, since 67 + 8 + 90 + 3 + 2 + 496 + 0 = 666.

67890324960 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 (480).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 67890324897 and 67890324906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 81893826 + ... + 81894654.

It is an arithmetic number, because the mean of its divisors is an integer number (512494290).

Almost surely, 2^67890324960 is an apocalyptic number.

67890324960 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 67890324960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122998629600).

67890324960 is an abundant number, since it is smaller than the sum of its proper divisors (178106934240).

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

67890324960 is a wasteful number, since it uses less digits than its factorization.

67890324960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 67890324960 in words is "sixty-seven billion, eight hundred ninety million, three hundred twenty-four thousand, nine hundred sixty".