8534680957440 has 1280 divisors, whose sum is σ = 36226377792000. Its totient is φ = 1880075796480.

The previous prime is 8534680957291. The next prime is 8534680957459. The reversal of 8534680957440 is 447590864358.

8534680957440 is a `hidden beast` number, since 8 + 53 + 4 + 6 + 8 + 0 + 9 + 574 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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, 374826376 + ... + 374849144.

It is an arithmetic number, because the mean of its divisors is an integer number (28301857650).

Almost surely, 2^{8534680957440} is an apocalyptic number.

8534680957440 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 8534680957440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18113188896000).

8534680957440 is an abundant number, since it is smaller than the sum of its proper divisors (27691696834560).

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

8534680957440 is a wasteful number, since it uses less digits than its factorization.

8534680957440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22858 (or 22836 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 8534680957440 in words is "eight trillion, five hundred thirty-four billion, six hundred eighty million, nine hundred fifty-seven thousand, four hundred forty".