16029425664 has 840 divisors, whose sum is σ = 61016517540. Its totient is φ = 4161798144.

The previous prime is 16029425617. The next prime is 16029425683. The reversal of 16029425664 is 46652492061.

16029425664 is a `hidden beast` number, since 1 + 60 + 29 + 4 + 2 + 566 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15623000064 + 406425600 = 124992^2 + 20160^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 552738802 + ... + 552738830.

Almost surely, 2^16029425664 is an apocalyptic number.

16029425664 is a gapful number since it is divisible by the number (14) 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 16029425664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30508258770).

16029425664 is an abundant number, since it is smaller than the sum of its proper divisors (44987091876).

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

16029425664 is an equidigital number, since it uses as much as digits as its factorization.

16029425664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 16029425664 in words is "sixteen billion, twenty-nine million, four hundred twenty-five thousand, six hundred sixty-four".