30761944416 has 216 divisors, whose sum is σ = 105272032320. Its totient is φ = 8485940736.

The previous prime is 30761944403. The next prime is 30761944417. The reversal of 30761944416 is 61444916703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30761944417) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 371665 + ... + 446831.

It is an arithmetic number, because the mean of its divisors is an integer number (487370520).

Almost surely, 2^30761944416 is an apocalyptic number.

30761944416 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 30761944416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52636016160).

30761944416 is an abundant number, since it is smaller than the sum of its proper divisors (74510087904).

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

30761944416 is a wasteful number, since it uses less digits than its factorization.

30761944416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75226 (or 75208 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 30761944416 in words is "thirty billion, seven hundred sixty-one million, nine hundred forty-four thousand, four hundred sixteen".