30655946880 has 768 divisors, whose sum is σ = 120695702400. Its totient is φ = 7389315072.

The previous prime is 30655946843. The next prime is 30655946921. The reversal of 30655946880 is 8864955603.

It is a happy number.

30655946880 is a `hidden beast` number, since 3 + 0 + 6 + 559 + 4 + 6 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 95 ways as a sum of consecutive naturals, for example, 119283712 + ... + 119283968.

Almost surely, 2^30655946880 is an apocalyptic number.

30655946880 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 30655946880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60347851200).

30655946880 is an abundant number, since it is smaller than the sum of its proper divisors (90039755520).

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

30655946880 is a wasteful number, since it uses less digits than its factorization.

30655946880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 30655946880 in words is "thirty billion, six hundred fifty-five million, nine hundred forty-six thousand, eight hundred eighty".