30046752000 has 972 divisors, whose sum is σ = 121213837836. Its totient is φ = 7144243200.

The previous prime is 30046751963. The next prime is 30046752011. The reversal of 30046752000 is 25764003.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 2797986816 + 27248765184 = 52896^2 + 165072^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1581407991 + ... + 1581408009.

Almost surely, 2^30046752000 is an apocalyptic number.

30046752000 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 30046752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60606918918).

30046752000 is an abundant number, since it is smaller than the sum of its proper divisors (91167085836).

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

30046752000 is a wasteful number, since it uses less digits than its factorization.

30046752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The spelling of 30046752000 in words is "thirty billion, forty-six million, seven hundred fifty-two thousand".