867450669120 has 504 divisors, whose sum is σ = 3599362376064. Its totient is φ = 198273567744.

The previous prime is 867450668999. The next prime is 867450669161. The reversal of 867450669120 is 21966054768.

867450669120 is a `hidden beast` number, since 8 + 6 + 7 + 4 + 506 + 6 + 9 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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 71 ways as a sum of consecutive naturals, for example, 3696409 + ... + 3924071.

It is an arithmetic number, because the mean of its divisors is an integer number (7141592016).

Almost surely, 2^867450669120 is an apocalyptic number.

867450669120 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 867450669120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1799681188032).

867450669120 is an abundant number, since it is smaller than the sum of its proper divisors (2731911706944).

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

867450669120 is a wasteful number, since it uses less digits than its factorization.

867450669120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227709 (or 227680 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 867450669120 in words is "eight hundred sixty-seven billion, four hundred fifty million, six hundred sixty-nine thousand, one hundred twenty".