8264272084992 has 896 divisors, whose sum is σ = 30902795421120. Its totient is φ = 2146086420480.

The previous prime is 8264272084973. The next prime is 8264272084997. The reversal of 8264272084992 is 2994802724628.

8264272084992 is a `hidden beast` number, since 8 + 26 + 427 + 20 + 84 + 9 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (8264272084997) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1839363898 + ... + 1839368390.

Almost surely, 2^{8264272084992} 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 8264272084992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15451397710560).

8264272084992 is an abundant number, since it is smaller than the sum of its proper divisors (22638523336128).

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

8264272084992 is an frugal number, since it uses more digits than its factorization.

8264272084992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4559 (or 4516 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 8264272084992 in words is "eight trillion, two hundred sixty-four billion, two hundred seventy-two million, eighty-four thousand, nine hundred ninety-two".