8632852879464 has 512 divisors, whose sum is σ = 27745320960000. Its totient is φ = 2462503680000.

The previous prime is 8632852879381. The next prime is 8632852879493. The reversal of 8632852879464 is 4649782582368.

8632852879464 is a `hidden beast` number, since 8 + 6 + 3 + 2 + 8 + 528 + 7 + 94 + 6 + 4 = 666.

It is a super-2 number, since 2×8632852879464² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 8632852879392 and 8632852879401.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1053939609 + ... + 1053947799.

It is an arithmetic number, because the mean of its divisors is an integer number (54190080000).

Almost surely, 2^{8632852879464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8632852879464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13872660480000).

8632852879464 is an abundant number, since it is smaller than the sum of its proper divisors (19112468080536).

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

8632852879464 is a wasteful number, since it uses less digits than its factorization.

8632852879464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8638 (or 8628 counting only the distinct ones).

The product of its digits is 1114767360, while the sum is 72.

The spelling of 8632852879464 in words is "eight trillion, six hundred thirty-two billion, eight hundred fifty-two million, eight hundred seventy-nine thousand, four hundred sixty-four".