29770690488640 has 224 divisors, whose sum is σ = 72301865787648. Its totient is φ = 11673446400000.

The previous prime is 29770690488589. The next prime is 29770690488641. The reversal of 29770690488640 is 4688409607792.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 29770690488640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29770690488641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3518574010 + ... + 3518582470.

It is an arithmetic number, because the mean of its divisors is an integer number (322776186552).

Almost surely, 2^{29770690488640} is an apocalyptic number.

29770690488640 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 29770690488640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36150932893824).

29770690488640 is an abundant number, since it is smaller than the sum of its proper divisors (42531175299008).

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

29770690488640 is a wasteful number, since it uses less digits than its factorization.

29770690488640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9417 (or 9407 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 70.

The spelling of 29770690488640 in words is "twenty-nine trillion, seven hundred seventy billion, six hundred ninety million, four hundred eighty-eight thousand, six hundred forty".