8374786560 has 640 divisors, whose sum is σ = 35826278400. Its totient is φ = 1811496960.

The previous prime is 8374786523. The next prime is 8374786561. The reversal of 8374786560 is 656874738.

8374786560 is a `hidden beast` number, since 8 + 3 + 7 + 4 + 78 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 8374786497 and 8374786506.

It is not an unprimeable number, because it can be changed into a prime (8374786561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9192505 + ... + 9193415.

It is an arithmetic number, because the mean of its divisors is an integer number (55978560).

Almost surely, 2^8374786560 is an apocalyptic number.

8374786560 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 8374786560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17913139200).

8374786560 is an abundant number, since it is smaller than the sum of its proper divisors (27451491840).

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

8374786560 is a wasteful number, since it uses less digits than its factorization.

8374786560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The square root of 8374786560 is about 91513.8599338920. The cubic root of 8374786560 is about 2030.7567983981.

The spelling of 8374786560 in words is "eight billion, three hundred seventy-four million, seven hundred eighty-six thousand, five hundred sixty".