8540047696896 has 495 divisors, whose sum is σ = 26043738927921. Its totient is φ = 2787487727616.

The previous prime is 8540047696891. The next prime is 8540047696903. The reversal of 8540047696896 is 6986967400458.

The square root of 8540047696896 is 2922336.

It is a perfect power (a square), and thus also a powerful number.

8540047696896 is a `hidden beast` number, since 8 + 5 + 4 + 0 + 0 + 476 + 9 + 68 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4847747097600 + 3692300599296 = 2201760^2 + 1921536^2 .

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

It is not an unprimeable number, because it can be changed into a prime (8540047696891) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 61439191995 + ... + 61439192133.

Almost surely, 2^{8540047696896} is an apocalyptic number.

8540047696896 is the 2922336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8540047696896

8540047696896 is an abundant number, since it is smaller than the sum of its proper divisors (17503691231025).

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

8540047696896 is an frugal number, since it uses more digits than its factorization.

8540047696896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 8540047696896 in words is "eight trillion, five hundred forty billion, forty-seven million, six hundred ninety-six thousand, eight hundred ninety-six".