8219970699264 has 680 divisors, whose sum is σ = 26354833940160. Its totient is φ = 2543962816512.

The previous prime is 8219970699211. The next prime is 8219970699419. The reversal of 8219970699264 is 4629960799128.

8219970699264 is a `hidden beast` number, since 8 + 219 + 97 + 0 + 69 + 9 + 264 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 8219970699192 and 8219970699201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7129202112 + ... + 7129203264.

Almost surely, 2^{8219970699264} 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 8219970699264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13177416970080).

8219970699264 is an abundant number, since it is smaller than the sum of its proper divisors (18134863240896).

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

8219970699264 is an equidigital number, since it uses as much as digits as its factorization.

8219970699264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 211631616, while the sum is 72.

The spelling of 8219970699264 in words is "eight trillion, two hundred nineteen billion, nine hundred seventy million, six hundred ninety-nine thousand, two hundred sixty-four".