29780213760 has 864 divisors, whose sum is σ = 123664387392. Its totient is φ = 6794772480.

The previous prime is 29780213747. The next prime is 29780213779. The reversal of 29780213760 is 6731208792.

29780213760 is a `hidden beast` number, since 297 + 80 + 213 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×29780213760² (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 (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1751777272 + ... + 1751777288.

It is an arithmetic number, because the mean of its divisors is an integer number (143130078).

Almost surely, 2^29780213760 is an apocalyptic number.

29780213760 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 29780213760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61832193696).

29780213760 is an abundant number, since it is smaller than the sum of its proper divisors (93884173632).

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

29780213760 is an frugal number, since it uses more digits than its factorization.

29780213760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 38 counting only the distinct ones).

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

The spelling of 29780213760 in words is "twenty-nine billion, seven hundred eighty million, two hundred thirteen thousand, seven hundred sixty".