30604290612480 has 432 divisors, whose sum is σ = 114930829977600. Its totient is φ = 7474041372672.

The previous prime is 30604290612433. The next prime is 30604290612491. The reversal of 30604290612480 is 8421609240603.

30604290612480 is a `hidden beast` number, since 3 + 0 + 6 + 0 + 4 + 29 + 0 + 612 + 4 + 8 + 0 = 666.

It is a super-3 number, since 3×30604290612480³ (a number of 41 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18214971 + ... + 19824069.

Almost surely, 2^{30604290612480} is an apocalyptic number.

30604290612480 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 30604290612480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57465414988800).

30604290612480 is an abundant number, since it is smaller than the sum of its proper divisors (84326539365120).

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

30604290612480 is a wasteful number, since it uses less digits than its factorization.

30604290612480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1609266 (or 1609249 counting only the distinct ones).

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

The spelling of 30604290612480 in words is "thirty trillion, six hundred four billion, two hundred ninety million, six hundred twelve thousand, four hundred eighty".