8314974720 has 960 divisors, whose sum is σ = 34746776064. Its totient is φ = 1816657920.

The previous prime is 8314974719. The next prime is 8314974727. The reversal of 8314974720 is 274794138.

8314974720 is a `hidden beast` number, since 83 + 14 + 97 + 472 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8314974727) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 117112285 + ... + 117112355.

Almost surely, 2^8314974720 is an apocalyptic number.

8314974720 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 8314974720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17373388032).

8314974720 is an abundant number, since it is smaller than the sum of its proper divisors (26431801344).

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

8314974720 is a wasteful number, since it uses less digits than its factorization.

8314974720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 8314974720 is about 91186.4832088616. The cubic root of 8314974720 is about 2025.9107599558.

The spelling of 8314974720 in words is "eight billion, three hundred fourteen million, nine hundred seventy-four thousand, seven hundred twenty".