29719001664 has 189 divisors, whose sum is σ = 93775774729. Its totient is φ = 8991966720.

The previous prime is 29719001651. The next prime is 29719001671. The reversal of 29719001664 is 46610091792.

The square root of 29719001664 is 172392.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6915585600 + 22803416064 = 83160^2 + 151008^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 45511162 + ... + 45511814.

Almost surely, 2^29719001664 is an apocalyptic number.

29719001664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

29719001664 is the 172392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29719001664

29719001664 is an abundant number, since it is smaller than the sum of its proper divisors (64056773065).

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

29719001664 is an equidigital number, since it uses as much as digits as its factorization.

29719001664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 29719001664 in words is "twenty-nine billion, seven hundred nineteen million, one thousand, six hundred sixty-four".