1432968606720 has 1408 divisors, whose sum is σ = 6074578944000. Its totient is φ = 320068288512.

The previous prime is 1432968606701. The next prime is 1432968606761. The reversal of 1432968606720 is 276068692341.

1432968606720 is a `hidden beast` number, since 1 + 4 + 3 + 2 + 9 + 6 + 8 + 606 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 2228566719 + ... + 2228567361.

Almost surely, 2^{1432968606720} is an apocalyptic number.

1432968606720 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 1432968606720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3037289472000).

1432968606720 is an abundant number, since it is smaller than the sum of its proper divisors (4641610337280).

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

1432968606720 is an equidigital number, since it uses as much as digits as its factorization.

1432968606720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 1432968606720 in words is "one trillion, four hundred thirty-two billion, nine hundred sixty-eight million, six hundred six thousand, seven hundred twenty".