8207354064 has 160 divisors (see below), whose sum is σ = 26538301440. Its totient is φ = 2127822336.

The previous prime is 8207354041. The next prime is 8207354087. The reversal of 8207354064 is 4604537028.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8207354041) and next prime (8207354087).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 241789 + ... + 273635.

It is an arithmetic number, because the mean of its divisors is an integer number (165864384).

Almost surely, 2^8207354064 is an apocalyptic number.

8207354064 is a gapful number since it is divisible by the number (84) 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 8207354064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13269150720).

8207354064 is an abundant number, since it is smaller than the sum of its proper divisors (18330947376).

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

8207354064 is a wasteful number, since it uses less digits than its factorization.

8207354064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31937 (or 31931 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 8207354064 is about 90594.4483067257. The cubic root of 8207354064 is about 2017.1323279509.

The spelling of 8207354064 in words is "eight billion, two hundred seven million, three hundred fifty-four thousand, sixty-four".