29767680000 has 900 divisors, whose sum is σ = 119766006360. Its totient is φ = 7077888000.

The previous prime is 29767679959. The next prime is 29767680037. The reversal of 29767680000 is 8676792.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (900).

It is a super-2 number, since 2×29767680000² (a number of 22 digits) contains 22 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1566719991 + ... + 1566720009.

Almost surely, 2^29767680000 is an apocalyptic number.

29767680000 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 29767680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59883003180).

29767680000 is an abundant number, since it is smaller than the sum of its proper divisors (89998326360).

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

29767680000 is an equidigital number, since it uses as much as digits as its factorization.

29767680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 29767680000 in words is "twenty-nine billion, seven hundred sixty-seven million, six hundred eighty thousand".