827604401004 has 144 divisors (see below), whose sum is σ = 2200868633600. Its totient is φ = 271889519616.

The previous prime is 827604401003. The next prime is 827604401017. The reversal of 827604401004 is 400104406728.

827604401004 is a `hidden beast` number, since 8 + 2 + 7 + 604 + 40 + 1 + 0 + 0 + 4 = 666.

It is a super-2 number, since 2×827604401004² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 827604401004.

It is not an unprimeable number, because it can be changed into a prime (827604401003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44297337 + ... + 44316015.

Almost surely, 2^827604401004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 827604401004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100434316800).

827604401004 is an abundant number, since it is smaller than the sum of its proper divisors (1373264232596).

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

827604401004 is a wasteful number, since it uses less digits than its factorization.

827604401004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19354 (or 19340 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 827604401004 in words is "eight hundred twenty-seven billion, six hundred four million, four hundred one thousand, four".