8219047947264 has 880 divisors, whose sum is σ = 31587772778496. Its totient is φ = 2065902796800.

The previous prime is 8219047947263. The next prime is 8219047947281. The reversal of 8219047947264 is 4627497409128.

8219047947264 is a `hidden beast` number, since 8 + 2 + 1 + 90 + 4 + 79 + 472 + 6 + 4 = 666.

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 (8219047947263) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 197966572 + ... + 198008084.

Almost surely, 2^{8219047947264} is an apocalyptic number.

8219047947264 is a gapful number since it is divisible by the number (84) 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 8219047947264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15793886389248).

8219047947264 is an abundant number, since it is smaller than the sum of its proper divisors (23368724831232).

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

8219047947264 is a wasteful number, since it uses less digits than its factorization.

8219047947264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41594 (or 41567 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 8219047947264 in words is "eight trillion, two hundred nineteen billion, forty-seven million, nine hundred forty-seven thousand, two hundred sixty-four".