8374544640 has 720 divisors, whose sum is σ = 37395388800. Its totient is φ = 1738506240.

The previous prime is 8374544617. The next prime is 8374544653. The reversal of 8374544640 is 464454738.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7982836 + ... + 7983884.

It is an arithmetic number, because the mean of its divisors is an integer number (51938040).

Almost surely, 2^8374544640 is an apocalyptic number.

8374544640 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 8374544640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18697694400).

8374544640 is an abundant number, since it is smaller than the sum of its proper divisors (29020844160).

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

8374544640 is a wasteful number, since it uses less digits than its factorization.

8374544640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The square root of 8374544640 is about 91512.5381573476. The cubic root of 8374544640 is about 2030.7372442514.

The spelling of 8374544640 in words is "eight billion, three hundred seventy-four million, five hundred forty-four thousand, six hundred forty".