30906751680 has 336 divisors, whose sum is σ = 123163120704. Its totient is φ = 6967296000.

The previous prime is 30906751637. The next prime is 30906751739. The reversal of 30906751680 is 8615760903.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1461180 + ... + 1482180.

Almost surely, 2^30906751680 is an apocalyptic number.

30906751680 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 30906751680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61581560352).

30906751680 is an abundant number, since it is smaller than the sum of its proper divisors (92256369024).

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

30906751680 is a wasteful number, since it uses less digits than its factorization.

30906751680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21104 (or 21091 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 30906751680 in words is "thirty billion, nine hundred six million, seven hundred fifty-one thousand, six hundred eighty".