29788776864 has 384 divisors, whose sum is σ = 114699110400. Its totient is φ = 7281930240.

The previous prime is 29788776863. The next prime is 29788776883. The reversal of 29788776864 is 46867788792.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 29788776792 and 29788776801.

It is not an unprimeable number, because it can be changed into a prime (29788776863) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1117807 + ... + 1144145.

It is an arithmetic number, because the mean of its divisors is an integer number (298695600).

Almost surely, 2^29788776864 is an apocalyptic number.

29788776864 is a gapful number since it is divisible by the number (24) 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 29788776864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57349555200).

29788776864 is an abundant number, since it is smaller than the sum of its proper divisors (84910333536).

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

29788776864 is a wasteful number, since it uses less digits than its factorization.

29788776864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26393 (or 26379 counting only the distinct ones).

The product of its digits is 455196672, while the sum is 72.

The spelling of 29788776864 in words is "twenty-nine billion, seven hundred eighty-eight million, seven hundred seventy-six thousand, eight hundred sixty-four".