30450738864 has 320 divisors, whose sum is σ = 102061467648. Its totient is φ = 7603200000.

The previous prime is 30450738863. The next prime is 30450738881. The reversal of 30450738864 is 46883705403.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (30450738863) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10145364 + ... + 10148364.

Almost surely, 2^30450738864 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 30450738864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51030733824).

30450738864 is an abundant number, since it is smaller than the sum of its proper divisors (71610728784).

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

30450738864 is a wasteful number, since it uses less digits than its factorization.

30450738864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3156 (or 3150 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 30450738864 in words is "thirty billion, four hundred fifty million, seven hundred thirty-eight thousand, eight hundred sixty-four".