1366972992 has 672 divisors, whose sum is σ = 5420563200. Its totient is φ = 325140480.

The previous prime is 1366972949. The next prime is 1366973039. The reversal of 1366972992 is 2992796631.

It is a tau number, because it is divible by the number of its divisors (672).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36945198 + ... + 36945234.

Almost surely, 2^1366972992 is an apocalyptic number.

1366972992 is a gapful number since it is divisible by the number (12) 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 1366972992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2710281600).

1366972992 is an abundant number, since it is smaller than the sum of its proper divisors (4053590208).

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

1366972992 is a wasteful number, since it uses less digits than its factorization.

1366972992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 77 counting only the distinct ones).

The product of its digits is 2204496, while the sum is 54.

The square root of 1366972992 is about 36972.5978530046. The cubic root of 1366972992 is about 1109.8219534244.

The spelling of 1366972992 in words is "one billion, three hundred sixty-six million, nine hundred seventy-two thousand, nine hundred ninety-two".