30700248480 has 384 divisors, whose sum is σ = 118165340160. Its totient is φ = 7382430720.

The previous prime is 30700248461. The next prime is 30700248503. The reversal of 30700248480 is 8484200703.

30700248480 is a `hidden beast` number, since 30 + 70 + 0 + 2 + 484 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6032497 + ... + 6037583.

It is an arithmetic number, because the mean of its divisors is an integer number (307722240).

Almost surely, 2^30700248480 is an apocalyptic number.

30700248480 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 30700248480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59082670080).

30700248480 is an abundant number, since it is smaller than the sum of its proper divisors (87465091680).

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

30700248480 is a wasteful number, since it uses less digits than its factorization.

30700248480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5249 (or 5235 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 30700248480 in words is "thirty billion, seven hundred million, two hundred forty-eight thousand, four hundred eighty".