29726040960 has 960 divisors, whose sum is σ = 133551300960. Its totient is φ = 6167715840.

The previous prime is 29726040913. The next prime is 29726040961. The reversal of 29726040960 is 6904062792.

29726040960 is a `hidden beast` number, since 297 + 260 + 40 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-4 number, since 4×29726040960⁴ (a number of 43 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29726040961) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 43908142 + ... + 43908818.

Almost surely, 2^29726040960 is an apocalyptic number.

29726040960 is a gapful number since it is divisible by the number (20) 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 29726040960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66775650480).

29726040960 is an abundant number, since it is smaller than the sum of its proper divisors (103825260000).

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

29726040960 is a wasteful number, since it uses less digits than its factorization.

29726040960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 29726040960 in words is "twenty-nine billion, seven hundred twenty-six million, forty thousand, nine hundred sixty".