30649772736 has 448 divisors, whose sum is σ = 105452997120. Its totient is φ = 8734003200.

The previous prime is 30649772731. The next prime is 30649772743. The reversal of 30649772736 is 63727794603.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (30649772731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26173431 + ... + 26174601.

Almost surely, 2^30649772736 is an apocalyptic number.

30649772736 is a gapful number since it is divisible by the number (36) 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 30649772736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52726498560).

30649772736 is an abundant number, since it is smaller than the sum of its proper divisors (74803224384).

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

30649772736 is a wasteful number, since it uses less digits than its factorization.

30649772736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 8001504, while the sum is 54.

The spelling of 30649772736 in words is "thirty billion, six hundred forty-nine million, seven hundred seventy-two thousand, seven hundred thirty-six".