30678286464000 has 2816 divisors, whose sum is σ = 140869863014400. Its totient is φ = 6425837568000.

The previous prime is 30678286463941. The next prime is 30678286464043. The reversal of 30678286464000 is 46468287603.

30678286464000 is a `hidden beast` number, since 30 + 6 + 78 + 2 + 86 + 464 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 14249086924 + ... + 14249089076.

Almost surely, 2^{30678286464000} is an apocalyptic number.

30678286464000 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 30678286464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70434931507200).

30678286464000 is an abundant number, since it is smaller than the sum of its proper divisors (110191576550400).

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

30678286464000 is a wasteful number, since it uses less digits than its factorization.

30678286464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2254 (or 2220 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 30678286464000 in words is "thirty trillion, six hundred seventy-eight billion, two hundred eighty-six million, four hundred sixty-four thousand".