29682036720 has 240 divisors, whose sum is σ = 120624154560. Its totient is φ = 6385360896.

The previous prime is 29682036719. The next prime is 29682036743. The reversal of 29682036720 is 2763028692.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87535 + ... + 258894.

It is an arithmetic number, because the mean of its divisors is an integer number (502600644).

Almost surely, 2^29682036720 is an apocalyptic number.

29682036720 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 29682036720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60312077280).

29682036720 is an abundant number, since it is smaller than the sum of its proper divisors (90942117840).

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

29682036720 is a wasteful number, since it uses less digits than its factorization.

29682036720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346472 (or 346463 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 29682036720 in words is "twenty-nine billion, six hundred eighty-two million, thirty-six thousand, seven hundred twenty".