30327436146720 has 192 divisors, whose sum is σ = 101480409588096. Its totient is φ = 7586797731840.

The previous prime is 30327436146719. The next prime is 30327436146731. The reversal of 30327436146720 is 2764163472303.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 30327436146720.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3547971 + ... + 8558210.

It is an arithmetic number, because the mean of its divisors is an integer number (528543799938).

Almost surely, 2^{30327436146720} is an apocalyptic number.

30327436146720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30327436146720 is an abundant number, since it is smaller than the sum of its proper divisors (71152973441376).

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

30327436146720 is a wasteful number, since it uses less digits than its factorization.

30327436146720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12106523 (or 12106515 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 48.

The spelling of 30327436146720 in words is "thirty trillion, three hundred twenty-seven billion, four hundred thirty-six million, one hundred forty-six thousand, seven hundred twenty".