30774429504 has 504 divisors, whose sum is σ = 114955563840. Its totient is φ = 7685922816.

The previous prime is 30774429463. The next prime is 30774429551. The reversal of 30774429504 is 40592447703.

30774429504 is a `hidden beast` number, since 30 + 7 + 74 + 42 + 9 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×30774429504² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 30774429504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12945564 + ... + 12947940.

Almost surely, 2^30774429504 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 30774429504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57477781920).

30774429504 is an abundant number, since it is smaller than the sum of its proper divisors (84181134336).

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

30774429504 is a wasteful number, since it uses less digits than its factorization.

30774429504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2447 (or 2421 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 30774429504 in words is "thirty billion, seven hundred seventy-four million, four hundred twenty-nine thousand, five hundred four".