1006072280640 has 1680 divisors, whose sum is σ = 4345679416320. Its totient is φ = 220096880640.

The previous prime is 1006072280581. The next prime is 1006072280651. The reversal of 1006072280640 is 460822706001.

1006072280640 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 0 + 7 + 2 + 2 + 8 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is a junction number, because it is equal to n+sod(n) for n = 1006072280595 and 1006072280604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3712443705 + ... + 3712443975.

Almost surely, 2^{1006072280640} is an apocalyptic number.

1006072280640 is a gapful number since it is divisible by the number (10) 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 1006072280640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2172839708160).

1006072280640 is an abundant number, since it is smaller than the sum of its proper divisors (3339607135680).

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

1006072280640 is a wasteful number, since it uses less digits than its factorization.

1006072280640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 1006072280640 its reverse (460822706001), we get a palindrome (1466894986641).

The spelling of 1006072280640 in words is "one trillion, six billion, seventy-two million, two hundred eighty thousand, six hundred forty".