1429075680 has 96 divisors (see below), whose sum is σ = 4534185600. Its totient is φ = 378327552.

The previous prime is 1429075651. The next prime is 1429075693. The reversal of 1429075680 is 865709241.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 56011 + ... + 77429.

It is an arithmetic number, because the mean of its divisors is an integer number (47231100).

Almost surely, 2^1429075680 is an apocalyptic number.

1429075680 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 1429075680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2267092800).

1429075680 is an abundant number, since it is smaller than the sum of its proper divisors (3105109920).

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

1429075680 is a wasteful number, since it uses less digits than its factorization.

1429075680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21576 (or 21568 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 1429075680 is about 37803.1173317757. The cubic root of 1429075680 is about 1126.3803776793.

The spelling of 1429075680 in words is "one billion, four hundred twenty-nine million, seventy-five thousand, six hundred eighty".