30245791680 has 336 divisors, whose sum is σ = 112935373824. Its totient is φ = 7385333760.

The previous prime is 30245791663. The next prime is 30245791721. The reversal of 30245791680 is 8619754203.

30245791680 is a `hidden beast` number, since 30 + 2 + 457 + 9 + 168 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4751700 + ... + 4758060.

It is an arithmetic number, because the mean of its divisors is an integer number (336117184).

It is a 1-persistent number, because it is pandigital, but 2⋅30245791680 = 60491583360 is not.

Almost surely, 2^30245791680 is an apocalyptic number.

30245791680 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 30245791680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56467686912).

30245791680 is an abundant number, since it is smaller than the sum of its proper divisors (82689582144).

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

30245791680 is a wasteful number, since it uses less digits than its factorization.

30245791680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6524 (or 6511 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 30245791680 in words is "thirty billion, two hundred forty-five million, seven hundred ninety-one thousand, six hundred eighty".