29132741664 has 384 divisors, whose sum is σ = 93630297600. Its totient is φ = 8758886400.

The previous prime is 29132741653. The next prime is 29132741681. The reversal of 29132741664 is 46614723192.

It is a super-2 number, since 2×29132741664² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 150946752 + ... + 150946944.

It is an arithmetic number, because the mean of its divisors is an integer number (243828900).

Almost surely, 2^29132741664 is an apocalyptic number.

29132741664 is a gapful number since it is divisible by the number (24) 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 29132741664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46815148800).

29132741664 is an abundant number, since it is smaller than the sum of its proper divisors (64497555936).

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

29132741664 is a wasteful number, since it uses less digits than its factorization.

29132741664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 451 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The spelling of 29132741664 in words is "twenty-nine billion, one hundred thirty-two million, seven hundred forty-one thousand, six hundred sixty-four".