1006667719200 has 1152 divisors, whose sum is σ = 4382157024000. Its totient is φ = 219746304000.

The previous prime is 1006667719163. The next prime is 1006667719243. The reversal of 1006667719200 is 29177666001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 126636826 + ... + 126644774.

It is an arithmetic number, because the mean of its divisors is an integer number (3803955750).

Almost surely, 2^{1006667719200} is an apocalyptic number.

1006667719200 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 1006667719200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2191078512000).

1006667719200 is an abundant number, since it is smaller than the sum of its proper divisors (3375489304800).

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

1006667719200 is a wasteful number, since it uses less digits than its factorization.

1006667719200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8043 (or 8024 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 1006667719200 in words is "one trillion, six billion, six hundred sixty-seven million, seven hundred nineteen thousand, two hundred".