29539640640 has 448 divisors, whose sum is σ = 102808113408. Its totient is φ = 7156531200.

The previous prime is 29539640633. The next prime is 29539640693. The reversal of 29539640640 is 4604693592.

It is a Cunningham number, because it is equal to 171871²-1.

It is a super-3 number, since 3×29539640640³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 29539640640.

It is a congruent number.

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, 87654552 + ... + 87654888.

It is an arithmetic number, because the mean of its divisors is an integer number (229482396).

Almost surely, 2^29539640640 is an apocalyptic number.

29539640640 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 29539640640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51404056704).

29539640640 is an abundant number, since it is smaller than the sum of its proper divisors (73268472768).

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

29539640640 is a wasteful number, since it uses less digits than its factorization.

29539640640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 48.

The spelling of 29539640640 in words is "twenty-nine billion, five hundred thirty-nine million, six hundred forty thousand, six hundred forty".