29413063680 has 704 divisors, whose sum is σ = 126377653248. Its totient is φ = 5638717440.

The previous prime is 29413063643. The next prime is 29413063681. The reversal of 29413063680 is 8636031492.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29413063681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15374404 + ... + 15376316.

It is an arithmetic number, because the mean of its divisors is an integer number (179513712).

Almost surely, 2^29413063680 is an apocalyptic number.

29413063680 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 29413063680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63188826624).

29413063680 is an abundant number, since it is smaller than the sum of its proper divisors (96964589568).

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

29413063680 is a wasteful number, since it uses less digits than its factorization.

29413063680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1972 (or 1954 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 29413063680 in words is "twenty-nine billion, four hundred thirteen million, sixty-three thousand, six hundred eighty".