9781420674816 has 720 divisors, whose sum is σ = 35749991692800. Its totient is φ = 2597609005056.

The previous prime is 9781420674803. The next prime is 9781420674821. The reversal of 9781420674816 is 6184760241879.

9781420674816 is a `hidden beast` number, since 9 + 7 + 8 + 142 + 0 + 6 + 7 + 481 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 146134605 + ... + 146201523.

It is an arithmetic number, because the mean of its divisors is an integer number (49652766240).

Almost surely, 2^{9781420674816} is an apocalyptic number.

9781420674816 is a gapful number since it is divisible by the number (96) 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 9781420674816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17874995846400).

9781420674816 is an abundant number, since it is smaller than the sum of its proper divisors (25968571017984).

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

9781420674816 is a wasteful number, since it uses less digits than its factorization.

9781420674816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67026 (or 67003 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 9781420674816 in words is "nine trillion, seven hundred eighty-one billion, four hundred twenty million, six hundred seventy-four thousand, eight hundred sixteen".