8256737664 has 192 divisors, whose sum is σ = 27888750240. Its totient is φ = 2295226368.

The previous prime is 8256737653. The next prime is 8256737669. The reversal of 8256737664 is 4667376528.

8256737664 is a `hidden beast` number, since 8 + 2 + 567 + 3 + 76 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 8256737664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8256737669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 284532 + ... + 312204.

Almost surely, 2^8256737664 is an apocalyptic number.

8256737664 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 8256737664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13944375120).

8256737664 is an abundant number, since it is smaller than the sum of its proper divisors (19632012576).

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

8256737664 is a wasteful number, since it uses less digits than its factorization.

8256737664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27737 (or 27722 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 54.

The square root of 8256737664 is about 90866.5926729951. The cubic root of 8256737664 is about 2021.1699316924.

The spelling of 8256737664 in words is "eight billion, two hundred fifty-six million, seven hundred thirty-seven thousand, six hundred sixty-four".