30364006400 has 720 divisors, whose sum is σ = 99560424600. Its totient is φ = 9103933440.

The previous prime is 30364006399. The next prime is 30364006403. The reversal of 30364006400 is 460046303.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 30364006400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30364006403) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1598105591 + ... + 1598105609.

Almost surely, 2^30364006400 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 30364006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49780212300).

30364006400 is an abundant number, since it is smaller than the sum of its proper divisors (69196418200).

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

30364006400 is an equidigital number, since it uses as much as digits as its factorization.

30364006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

The spelling of 30364006400 in words is "thirty billion, three hundred sixty-four million, six thousand, four hundred".