29680757568 has 672 divisors, whose sum is σ = 110465372160. Its totient is φ = 7396945920.

The previous prime is 29680757549. The next prime is 29680757573. The reversal of 29680757568 is 86575708692.

29680757568 is a `hidden beast` number, since 2 + 9 + 68 + 0 + 7 + 5 + 7 + 568 = 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 (63).

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, 150663646 + ... + 150663842.

Almost surely, 2^29680757568 is an apocalyptic number.

29680757568 is a gapful number since it is divisible by the number (28) 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 29680757568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55232686080).

29680757568 is an abundant number, since it is smaller than the sum of its proper divisors (80784614592).

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

29680757568 is a wasteful number, since it uses less digits than its factorization.

29680757568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 29680757568 in words is "twenty-nine billion, six hundred eighty million, seven hundred fifty-seven thousand, five hundred sixty-eight".