29778794496 has 288 divisors, whose sum is σ = 94435482960. Its totient is φ = 8965324800.

The previous prime is 29778794489. The next prime is 29778794497. The reversal of 29778794496 is 69449787792.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29778794497) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39130756 + ... + 39131516.

Almost surely, 2^29778794496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29778794496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47217741480).

29778794496 is an abundant number, since it is smaller than the sum of its proper divisors (64656688464).

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

29778794496 is a wasteful number, since it uses less digits than its factorization.

29778794496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993 (or 970 counting only the distinct ones).

The product of its digits is 384072192, while the sum is 72.

The spelling of 29778794496 in words is "twenty-nine billion, seven hundred seventy-eight million, seven hundred ninety-four thousand, four hundred ninety-six".