29777834064 has 40 divisors (see below), whose sum is σ = 83919352032. Its totient is φ = 9023585920.

The previous prime is 29777834063. The next prime is 29777834071. The reversal of 29777834064 is 46043877792.

It is a junction number, because it is equal to n+sod(n) for n = 29777833995 and 29777834013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29777834063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28198179 + ... + 28199234.

Almost surely, 2^29777834064 is an apocalyptic number.

29777834064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

29777834064 is an abundant number, since it is smaller than the sum of its proper divisors (54141517968).

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

29777834064 is a wasteful number, since it uses less digits than its factorization.

29777834064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56397435 (or 56397429 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 57.

The spelling of 29777834064 in words is "twenty-nine billion, seven hundred seventy-seven million, eight hundred thirty-four thousand, sixty-four".