867210421920 has 384 divisors, whose sum is σ = 2916401241600. Its totient is φ = 215854743552.

The previous prime is 867210421897. The next prime is 867210421939. The reversal of 867210421920 is 29124012768.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 657475021 + ... + 657476339.

It is an arithmetic number, because the mean of its divisors is an integer number (7594794900).

Almost surely, 2^867210421920 is an apocalyptic number.

867210421920 is a gapful number since it is divisible by the number (80) 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 867210421920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458200620800).

867210421920 is an abundant number, since it is smaller than the sum of its proper divisors (2049190819680).

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

867210421920 is a wasteful number, since it uses less digits than its factorization.

867210421920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1960 (or 1952 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 867210421920 in words is "eight hundred sixty-seven billion, two hundred ten million, four hundred twenty-one thousand, nine hundred twenty".