30479120640 has 864 divisors, whose sum is σ = 117852134400. Its totient is φ = 7524679680.

The previous prime is 30479120593. The next prime is 30479120641. The reversal of 30479120640 is 4602197403.

30479120640 is a `hidden beast` number, since 3 + 0 + 4 + 7 + 9 + 1 + 2 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 = 30479120595 and 30479120604.

It is not an unprimeable number, because it can be changed into a prime (30479120641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 279624906 + ... + 279625014.

Almost surely, 2^30479120640 is an apocalyptic number.

30479120640 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 30479120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58926067200).

30479120640 is an abundant number, since it is smaller than the sum of its proper divisors (87373013760).

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

30479120640 is a wasteful number, since it uses less digits than its factorization.

30479120640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 30479120640 in words is "thirty billion, four hundred seventy-nine million, one hundred twenty thousand, six hundred forty".