1067864821920 has 2304 divisors, whose sum is σ = 4704457605120. Its totient is φ = 225740390400.

The previous prime is 1067864821883. The next prime is 1067864821931. The reversal of 1067864821920 is 291284687601.

It is a happy number.

1067864821920 is a `hidden beast` number, since 1 + 0 + 6 + 78 + 6 + 482 + 1 + 92 + 0 = 666.

It is a super-2 number, since 2×1067864821920² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5060970615 + ... + 5060970825.

It is an arithmetic number, because the mean of its divisors is an integer number (2041865280).

Almost surely, 2^{1067864821920} is an apocalyptic number.

1067864821920 is a gapful number since it is divisible by the number (10) 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 1067864821920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2352228802560).

1067864821920 is an abundant number, since it is smaller than the sum of its proper divisors (3636592783200).

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

1067864821920 is a wasteful number, since it uses less digits than its factorization.

1067864821920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 1067864821920 in words is "one trillion, sixty-seven billion, eight hundred sixty-four million, eight hundred twenty-one thousand, nine hundred twenty".