30905936640 has 576 divisors, whose sum is σ = 114437836800. Its totient is φ = 7891992576.

The previous prime is 30905936623. The next prime is 30905936651. The reversal of 30905936640 is 4663950903.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

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 (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86088781 + ... + 86089139.

It is an arithmetic number, because the mean of its divisors is an integer number (198676800).

Almost surely, 2^30905936640 is an apocalyptic number.

30905936640 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 30905936640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57218918400).

30905936640 is an abundant number, since it is smaller than the sum of its proper divisors (83531900160).

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

30905936640 is a wasteful number, since it uses less digits than its factorization.

30905936640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The spelling of 30905936640 in words is "thirty billion, nine hundred five million, nine hundred thirty-six thousand, six hundred forty".