29730645504 has 480 divisors, whose sum is σ = 104264160000. Its totient is φ = 7966605312.

The previous prime is 29730645499. The next prime is 29730645547. The reversal of 29730645504 is 40554603792.

29730645504 is a `hidden beast` number, since 2 + 9 + 7 + 30 + 64 + 550 + 4 = 666.

It is a super-2 number, since 2×29730645504² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 29730645504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85187922 + ... + 85188270.

It is an arithmetic number, because the mean of its divisors is an integer number (217217000).

Almost surely, 2^29730645504 is an apocalyptic number.

29730645504 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 29730645504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52132080000).

29730645504 is an abundant number, since it is smaller than the sum of its proper divisors (74533514496).

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

29730645504 is a wasteful number, since it uses less digits than its factorization.

29730645504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 29730645504 in words is "twenty-nine billion, seven hundred thirty million, six hundred forty-five thousand, five hundred four".