8918378773920 has 2304 divisors, whose sum is σ = 41373366935040. Its totient is φ = 1772480102400.

The previous prime is 8918378773907. The next prime is 8918378773933. The reversal of 8918378773920 is 293778738198.

8918378773920 is a `hidden beast` number, since 8 + 91 + 83 + 7 + 8 + 77 + 392 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8918378773907) and next prime (8918378773933).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5255378512 + ... + 5255380208.

It is an arithmetic number, because the mean of its divisors is an integer number (17957190510).

Almost surely, 2^{8918378773920} is an apocalyptic number.

8918378773920 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 8918378773920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20686683467520).

8918378773920 is an abundant number, since it is smaller than the sum of its proper divisors (32454988161120).

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

8918378773920 is a wasteful number, since it uses less digits than its factorization.

8918378773920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1844 (or 1823 counting only the distinct ones).

The product of its (nonzero) digits is 256048128, while the sum is 72.

The spelling of 8918378773920 in words is "eight trillion, nine hundred eighteen billion, three hundred seventy-eight million, seven hundred seventy-three thousand, nine hundred twenty".