1332307680 has 192 divisors, whose sum is σ = 4847931648. Its totient is φ = 303964160.

The previous prime is 1332307679. The next prime is 1332307681. The reversal of 1332307680 is 867032331.

It is an interprime number because it is at equal distance from previous prime (1332307679) and next prime (1332307681).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1332307681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82339 + ... + 97181.

It is an arithmetic number, because the mean of its divisors is an integer number (25249644).

Almost surely, 2^1332307680 is an apocalyptic number.

1332307680 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 1332307680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2423965824).

1332307680 is an abundant number, since it is smaller than the sum of its proper divisors (3515623968).

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

1332307680 is a wasteful number, since it uses less digits than its factorization.

1332307680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14889 (or 14881 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 1332307680 is about 36500.7901284342. The cubic root of 1332307680 is about 1100.3601245117.

The spelling of 1332307680 in words is "one billion, three hundred thirty-two million, three hundred seven thousand, six hundred eighty".