30801408768 has 216 divisors, whose sum is σ = 97448983632. Its totient is φ = 9298059264.

The previous prime is 30801408767. The next prime is 30801408787. The reversal of 30801408768 is 86780410803.

It is not an unprimeable number, because it can be changed into a prime (30801408767) 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, 1577755 + ... + 1597157.

It is an arithmetic number, because the mean of its divisors is an integer number (451152702).

Almost surely, 2^30801408768 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 30801408768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48724491816).

30801408768 is an abundant number, since it is smaller than the sum of its proper divisors (66647574864).

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

30801408768 is a wasteful number, since it uses less digits than its factorization.

30801408768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19491 (or 19474 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

It can be divided in two parts, 30801 and 408768, that added together give a square (439569 = 663²).

The spelling of 30801408768 in words is "thirty billion, eight hundred one million, four hundred eight thousand, seven hundred sixty-eight".