30435520668672 has 704 divisors, whose sum is σ = 101505987772416. Its totient is φ = 7906637905920.

The previous prime is 30435520668671. The next prime is 30435520668697. The reversal of 30435520668672 is 27686602553403.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (30435520668671) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7672173633 + ... + 7672177599.

Almost surely, 2^{30435520668672} is an apocalyptic number.

30435520668672 is a gapful number since it is divisible by the number (32) 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 30435520668672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50752993886208).

30435520668672 is an abundant number, since it is smaller than the sum of its proper divisors (71070467103744).

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

30435520668672 is a wasteful number, since it uses less digits than its factorization.

30435520668672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4722 (or 4704 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 57.

The spelling of 30435520668672 in words is "thirty trillion, four hundred thirty-five billion, five hundred twenty million, six hundred sixty-eight thousand, six hundred seventy-two".