30036464640 has 1584 divisors, whose sum is σ = 140250614400. Its totient is φ = 5796790272.

The previous prime is 30036464581. The next prime is 30036464651. The reversal of 30036464640 is 4646463003.

30036464640 is a `hidden beast` number, since 3 + 0 + 0 + 3 + 6 + 4 + 6 + 4 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 30036464595 and 30036464604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1035740146 + ... + 1035740174.

Almost surely, 2^30036464640 is an apocalyptic number.

30036464640 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 30036464640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70125307200).

30036464640 is an abundant number, since it is smaller than the sum of its proper divisors (110214149760).

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

30036464640 is a wasteful number, since it uses less digits than its factorization.

30036464640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 30036464640 in words is "thirty billion, thirty-six million, four hundred sixty-four thousand, six hundred forty".