30255686640 has 240 divisors, whose sum is σ = 107779351680. Its totient is φ = 7584744960.

The previous prime is 30255686633. The next prime is 30255686687. The reversal of 30255686640 is 4668655203.

30255686640 is a `hidden beast` number, since 3 + 0 + 25 + 568 + 6 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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, 1783639 + ... + 1800521.

It is an arithmetic number, because the mean of its divisors is an integer number (449080632).

Almost surely, 2^30255686640 is an apocalyptic number.

30255686640 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 30255686640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53889675840).

30255686640 is an abundant number, since it is smaller than the sum of its proper divisors (77523665040).

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

30255686640 is a wasteful number, since it uses less digits than its factorization.

30255686640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17052 (or 17043 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 30255686640 in words is "thirty billion, two hundred fifty-five million, six hundred eighty-six thousand, six hundred forty".