30649288320 has 864 divisors, whose sum is σ = 128340503460. Its totient is φ = 6719569920.

The previous prime is 30649288283. The next prime is 30649288349. The reversal of 30649288320 is 2388294603.

30649288320 is a `hidden beast` number, since 3 + 0 + 6 + 49 + 288 + 320 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 26065456704 + 4583831616 = 161448^2 + 67704^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 271232584 + ... + 271232696.

Almost surely, 2^30649288320 is an apocalyptic number.

30649288320 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 30649288320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64170251730).

30649288320 is an abundant number, since it is smaller than the sum of its proper divisors (97691215140).

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

30649288320 is a wasteful number, since it uses less digits than its factorization.

30649288320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 30649288320 in words is "thirty billion, six hundred forty-nine million, two hundred eighty-eight thousand, three hundred twenty".