8420378464000 has 144 divisors (see below), whose sum is σ = 20986174460160. Its totient is φ = 3366552268800.

The previous prime is 8420378463949. The next prime is 8420378464013. The reversal of 8420378464000 is 4648730248.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 68514606 + ... + 68637394.

It is an arithmetic number, because the mean of its divisors is an integer number (145737322640).

Almost surely, 2^{8420378464000} is an apocalyptic number.

8420378464000 is a gapful number since it is divisible by the number (80) 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 8420378464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10493087230080).

8420378464000 is an abundant number, since it is smaller than the sum of its proper divisors (12565795996160).

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

8420378464000 is a wasteful number, since it uses less digits than its factorization.

8420378464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124963 (or 124939 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 46.

The spelling of 8420378464000 in words is "eight trillion, four hundred twenty billion, three hundred seventy-eight million, four hundred sixty-four thousand".