1006792692960 has 48 divisors (see below), whose sum is σ = 3171396984336. Its totient is φ = 268478051328.

The previous prime is 1006792692863. The next prime is 1006792692973. The reversal of 1006792692960 is 692962976001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1006792692960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1048741909 + ... + 1048742868.

It is an arithmetic number, because the mean of its divisors is an integer number (66070770507).

Almost surely, 2^{1006792692960} is an apocalyptic number.

1006792692960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006792692960 is an abundant number, since it is smaller than the sum of its proper divisors (2164604291376).

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

1006792692960 is a wasteful number, since it uses less digits than its factorization.

1006792692960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2097484795 (or 2097484787 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 57.

The spelling of 1006792692960 in words is "one trillion, six billion, seven hundred ninety-two million, six hundred ninety-two thousand, nine hundred sixty".