30432859968 has 224 divisors, whose sum is σ = 97584768000. Its totient is φ = 8176398336.

The previous prime is 30432859939. The next prime is 30432859999. The reversal of 30432859968 is 86995823403.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×30432859968² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

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, 3494083 + ... + 3502781.

Almost surely, 2^30432859968 is an apocalyptic number.

30432859968 is a gapful number since it is divisible by the number (38) 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 30432859968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48792384000).

30432859968 is an abundant number, since it is smaller than the sum of its proper divisors (67151908032).

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

30432859968 is a wasteful number, since it uses less digits than its factorization.

30432859968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8877 (or 8867 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 57.

The spelling of 30432859968 in words is "thirty billion, four hundred thirty-two million, eight hundred fifty-nine thousand, nine hundred sixty-eight".