8374093920 has 576 divisors, whose sum is σ = 32097461760. Its totient is φ = 1977237504.

The previous prime is 8374093919. The next prime is 8374093933. The reversal of 8374093920 is 293904738.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60245211 + ... + 60245349.

It is an arithmetic number, because the mean of its divisors is an integer number (55724760).

Almost surely, 2^8374093920 is an apocalyptic number.

8374093920 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 8374093920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16048730880).

8374093920 is an abundant number, since it is smaller than the sum of its proper divisors (23723367840).

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

8374093920 is a wasteful number, since it uses less digits than its factorization.

8374093920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 8374093920 is about 91510.0755108420. The cubic root of 8374093920 is about 2030.7008120094.

The spelling of 8374093920 in words is "eight billion, three hundred seventy-four million, ninety-three thousand, nine hundred twenty".