1429337664 has 168 divisors, whose sum is σ = 4310298720. Its totient is φ = 469545984.

The previous prime is 1429337659. The next prime is 1429337699. The reversal of 1429337664 is 4667339241.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1134667 + ... + 1135925.

It is an arithmetic number, because the mean of its divisors is an integer number (25656540).

Almost surely, 2^1429337664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1429337664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2155149360).

1429337664 is an abundant number, since it is smaller than the sum of its proper divisors (2880961056).

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

1429337664 is an equidigital number, since it uses as much as digits as its factorization.

1429337664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1359 (or 1337 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 1429337664 is about 37806.5822840415. The cubic root of 1429337664 is about 1126.4492043599.

The spelling of 1429337664 in words is "one billion, four hundred twenty-nine million, three hundred thirty-seven thousand, six hundred sixty-four".