30978460800 has 1536 divisors, whose sum is σ = 144247910400. Its totient is φ = 6325862400.

The previous prime is 30978460787. The next prime is 30978460811. The reversal of 30978460800 is 806487903.

It is a happy number.

30978460800 is a `hidden beast` number, since 30 + 9 + 7 + 8 + 4 + 608 + 0 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 236476735 + ... + 236476865.

It is an arithmetic number, because the mean of its divisors is an integer number (93911400).

Almost surely, 2^30978460800 is an apocalyptic number.

30978460800 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 30978460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72123955200).

30978460800 is an abundant number, since it is smaller than the sum of its proper divisors (113269449600).

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

30978460800 is a wasteful number, since it uses less digits than its factorization.

30978460800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 30978460800 in words is "thirty billion, nine hundred seventy-eight million, four hundred sixty thousand, eight hundred".