30906247680 has 640 divisors, whose sum is σ = 136894095360. Its totient is φ = 6420971520.

The previous prime is 30906247649. The next prime is 30906247681. The reversal of 30906247680 is 8674260903.

30906247680 is a `hidden beast` number, since 30 + 90 + 62 + 476 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×30906247680² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (30906247681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5319337 + ... + 5325143.

It is an arithmetic number, because the mean of its divisors is an integer number (213897024).

Almost surely, 2^30906247680 is an apocalyptic number.

30906247680 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 30906247680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68447047680).

30906247680 is an abundant number, since it is smaller than the sum of its proper divisors (105987847680).

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

30906247680 is a wasteful number, since it uses less digits than its factorization.

30906247680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5857 (or 5835 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 30906247680 in words is "thirty billion, nine hundred six million, two hundred forty-seven thousand, six hundred eighty".