1006729686772 has 24 divisors (see below), whose sum is σ = 1854538005600. Its totient is φ = 476862712416.

The previous prime is 1006729686737. The next prime is 1006729686779. The reversal of 1006729686772 is 2776869276001.

It is a happy number.

It is a hoax number, since the sum of its digits (61) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1006729686772.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006729686779) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5340054 + ... + 5525362.

It is an arithmetic number, because the mean of its divisors is an integer number (77272416900).

Almost surely, 2^{1006729686772} is an apocalyptic number.

It is an amenable number.

1006729686772 is a deficient number, since it is larger than the sum of its proper divisors (847808318828).

1006729686772 is a wasteful number, since it uses less digits than its factorization.

1006729686772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256815 (or 256813 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 61.

The spelling of 1006729686772 in words is "one trillion, six billion, seven hundred twenty-nine million, six hundred eighty-six thousand, seven hundred seventy-two".