1061674435584 has 1056 divisors, whose sum is σ = 3854327414400. Its totient is φ = 287424184320.

The previous prime is 1061674435583. The next prime is 1061674435597. The reversal of 1061674435584 is 4855344761601.

1061674435584 is a `hidden beast` number, since 1 + 0 + 6 + 16 + 7 + 4 + 43 + 5 + 584 = 666.

It is a super-2 number, since 2×1061674435584² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1061674435584.

It is not an unprimeable number, because it can be changed into a prime (1061674435583) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2396556067 + ... + 2396556509.

Almost surely, 2^{1061674435584} is an apocalyptic number.

1061674435584 is a gapful number since it is divisible by the number (14) 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 1061674435584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1927163707200).

1061674435584 is an abundant number, since it is smaller than the sum of its proper divisors (2792652978816).

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

1061674435584 is a wasteful number, since it uses less digits than its factorization.

1061674435584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 545 counting only the distinct ones).

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

The spelling of 1061674435584 in words is "one trillion, sixty-one billion, six hundred seventy-four million, four hundred thirty-five thousand, five hundred eighty-four".