30645536064 has 224 divisors, whose sum is σ = 100863294336. Its totient is φ = 8067809280.

The previous prime is 30645536023. The next prime is 30645536143. The reversal of 30645536064 is 46063554603.

It is a happy number.

It is a super-2 number, since 2×30645536064² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 433924 + ... + 499580.

It is an arithmetic number, because the mean of its divisors is an integer number (450282564).

Almost surely, 2^30645536064 is an apocalyptic number.

30645536064 is a gapful number since it is divisible by the number (34) 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 30645536064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50431647168).

30645536064 is an abundant number, since it is smaller than the sum of its proper divisors (70217758272).

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

30645536064 is a wasteful number, since it uses less digits than its factorization.

30645536064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65713 (or 65703 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 42.

The spelling of 30645536064 in words is "thirty billion, six hundred forty-five million, five hundred thirty-six thousand, sixty-four".