867454225920 has 240 divisors, whose sum is σ = 3006688988160. Its totient is φ = 231132413952.

The previous prime is 867454225919. The next prime is 867454225949. The reversal of 867454225920 is 29522454768.

867454225920 is a `hidden beast` number, since 8 + 6 + 7 + 4 + 5 + 42 + 2 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29453442 + ... + 29482878.

It is an arithmetic number, because the mean of its divisors is an integer number (12527870784).

Almost surely, 2^867454225920 is an apocalyptic number.

867454225920 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 867454225920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1503344494080).

867454225920 is an abundant number, since it is smaller than the sum of its proper divisors (2139234762240).

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

867454225920 is a wasteful number, since it uses less digits than its factorization.

867454225920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30745 (or 30726 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 867454225920 in words is "eight hundred sixty-seven billion, four hundred fifty-four million, two hundred twenty-five thousand, nine hundred twenty".