1006216473600 has 1320 divisors, whose sum is σ = 4054755079760. Its totient is φ = 245089566720.

The previous prime is 1006216473589. The next prime is 1006216473607. The reversal of 1006216473600 is 63746126001.

It is a happy number.

1006216473600 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 2 + 1 + 6 + 47 + 3 + 600 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1006216473607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4393958286 + ... + 4393958514.

Almost surely, 2^{1006216473600} is an apocalyptic number.

1006216473600 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 1006216473600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2027377539880).

1006216473600 is an abundant number, since it is smaller than the sum of its proper divisors (3048538606160).

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

1006216473600 is a wasteful number, since it uses less digits than its factorization.

1006216473600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 1006216473600 in words is "one trillion, six billion, two hundred sixteen million, four hundred seventy-three thousand, six hundred".