29432012064 has 384 divisors, whose sum is σ = 98842705920. Its totient is φ = 7459430400.

The previous prime is 29432012039. The next prime is 29432012089. The reversal of 29432012064 is 46021023492.

It is an interprime number because it is at equal distance from previous prime (29432012039) and next prime (29432012089).

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, 51725572 + ... + 51726140.

It is an arithmetic number, because the mean of its divisors is an integer number (257402880).

Almost surely, 2^29432012064 is an apocalyptic number.

29432012064 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 29432012064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49421352960).

29432012064 is an abundant number, since it is smaller than the sum of its proper divisors (69410693856).

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

29432012064 is a wasteful number, since it uses less digits than its factorization.

29432012064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 29432012064 in words is "twenty-nine billion, four hundred thirty-two million, twelve thousand, sixty-four".