1032004264536 has 512 divisors, whose sum is σ = 3681220608000. Its totient is φ = 260939999232.

The previous prime is 1032004264507. The next prime is 1032004264547. The reversal of 1032004264536 is 6354624002301.

1032004264536 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 0 + 0 + 4 + 2 + 645 + 3 + 6 = 666.

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 1032004264536.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34865535 + ... + 34895121.

It is an arithmetic number, because the mean of its divisors is an integer number (7189884000).

Almost surely, 2^{1032004264536} 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 1032004264536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1840610304000).

1032004264536 is an abundant number, since it is smaller than the sum of its proper divisors (2649216343464).

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

1032004264536 is a wasteful number, since it uses less digits than its factorization.

1032004264536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29708 (or 29698 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 1032004264536 its reverse (6354624002301), we get a palindrome (7386628266837).

The spelling of 1032004264536 in words is "one trillion, thirty-two billion, four million, two hundred sixty-four thousand, five hundred thirty-six".