867574431360 has 1536 divisors, whose sum is σ = 3985765056000. Its totient is φ = 172194398208.

The previous prime is 867574431359. The next prime is 867574431397. The reversal of 867574431360 is 63134475768.

It is a happy number.

867574431360 is a `hidden beast` number, since 8 + 6 + 7 + 574 + 4 + 3 + 1 + 3 + 60 = 666.

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 junction number, because it is equal to n+sod(n) for n = 867574431297 and 867574431306.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 436624287 + ... + 436626273.

It is an arithmetic number, because the mean of its divisors is an integer number (2594899125).

Almost surely, 2^867574431360 is an apocalyptic number.

867574431360 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 867574431360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1992882528000).

867574431360 is an abundant number, since it is smaller than the sum of its proper divisors (3118190624640).

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

867574431360 is a wasteful number, since it uses less digits than its factorization.

867574431360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2063 (or 2034 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 867574431360 in words is "eight hundred sixty-seven billion, five hundred seventy-four million, four hundred thirty-one thousand, three hundred sixty".