29680680960 has 840 divisors, whose sum is σ = 123774327936. Its totient is φ = 6688604160.

The previous prime is 29680680937. The next prime is 29680680971. The reversal of 29680680960 is 6908608692.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 29680680897 and 29680680906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 418037725 + ... + 418037795.

Almost surely, 2^29680680960 is an apocalyptic number.

29680680960 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 29680680960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61887163968).

29680680960 is an abundant number, since it is smaller than the sum of its proper divisors (94093646976).

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

29680680960 is an frugal number, since it uses more digits than its factorization.

29680680960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 29680680960 in words is "twenty-nine billion, six hundred eighty million, six hundred eighty thousand, nine hundred sixty".