8634578060880 has 320 divisors, whose sum is σ = 30040458240000. Its totient is φ = 2279410979328.

The previous prime is 8634578060863. The next prime is 8634578060881. The reversal of 8634578060880 is 880608754368.

8634578060880 is a `hidden beast` number, since 86 + 345 + 7 + 80 + 60 + 8 + 80 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8634578060881) 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, 938638521 + ... + 938647719.

It is an arithmetic number, because the mean of its divisors is an integer number (93876432000).

Almost surely, 2^{8634578060880} is an apocalyptic number.

8634578060880 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 8634578060880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15020229120000).

8634578060880 is an abundant number, since it is smaller than the sum of its proper divisors (21405880179120).

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

8634578060880 is a wasteful number, since it uses less digits than its factorization.

8634578060880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13543 (or 13531 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 8634578060880 in words is "eight trillion, six hundred thirty-four billion, five hundred seventy-eight million, sixty thousand, eight hundred eighty".