8172651564 has 216 divisors, whose sum is σ = 27186501888. Its totient is φ = 2010795840.

The previous prime is 8172651517. The next prime is 8172651593. The reversal of 8172651564 is 4651562718.

8172651564 is a `hidden beast` number, since 8 + 1 + 72 + 6 + 515 + 64 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 996609 + ... + 1004775.

Almost surely, 2^8172651564 is an apocalyptic number.

8172651564 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 8172651564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13593250944).

8172651564 is an abundant number, since it is smaller than the sum of its proper divisors (19013850324).

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

8172651564 is a wasteful number, since it uses less digits than its factorization.

8172651564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8233 (or 8209 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 8172651564 is about 90402.7187865498. The cubic root of 8172651564 is about 2014.2853517601.

The spelling of 8172651564 in words is "eight billion, one hundred seventy-two million, six hundred fifty-one thousand, five hundred sixty-four".