29066143680 has 672 divisors, whose sum is σ = 120408777216. Its totient is φ = 6536318976.

The previous prime is 29066143657. The next prime is 29066143697. The reversal of 29066143680 is 8634166092.

29066143680 is a `hidden beast` number, since 29 + 0 + 6 + 614 + 3 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36469042 + ... + 36469838.

It is an arithmetic number, because the mean of its divisors is an integer number (179179728).

Almost surely, 2^29066143680 is an apocalyptic number.

29066143680 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 29066143680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60204388608).

29066143680 is an abundant number, since it is smaller than the sum of its proper divisors (91342633536).

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

29066143680 is an equidigital number, since it uses as much as digits as its factorization.

29066143680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 29066143680 in words is "twenty-nine billion, sixty-six million, one hundred forty-three thousand, six hundred eighty".