30896640000 has 650 divisors, whose sum is σ = 116108653650. Its totient is φ = 8183808000.

The previous prime is 30896639957. The next prime is 30896640001. The reversal of 30896640000 is 4669803.

30896640000 is a `hidden beast` number, since 3 + 0 + 8 + 9 + 6 + 640 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 18793119744 + 12103520256 = 137088^2 + 110016^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30896640001) by changing a digit.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 207359926 + ... + 207360074.

Almost surely, 2^30896640000 is an apocalyptic number.

30896640000 is a gapful number since it is divisible by the number (30) 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 30896640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58054326825).

30896640000 is an abundant number, since it is smaller than the sum of its proper divisors (85212013650).

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

30896640000 is an frugal number, since it uses more digits than its factorization.

30896640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 30896640000 in words is "thirty billion, eight hundred ninety-six million, six hundred forty thousand".