76219212856446 has 256 divisors, whose sum is σ = 190423104768000. Its totient is φ = 22401295488000.

The previous prime is 76219212856433. The next prime is 76219212856463. The reversal of 76219212856446 is 64465821291267.

76219212856446 is a `hidden beast` number, since 7 + 6 + 2 + 1 + 9 + 2 + 1 + 28 + 564 + 46 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 2057235730 + ... + 2057272778.

It is an arithmetic number, because the mean of its divisors is an integer number (743840253000).

Almost surely, 2^{76219212856446} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76219212856446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95211552384000).

76219212856446 is an abundant number, since it is smaller than the sum of its proper divisors (114203891911554).

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

76219212856446 is a wasteful number, since it uses less digits than its factorization.

76219212856446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37872 (or 37866 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The spelling of 76219212856446 in words is "seventy-six trillion, two hundred nineteen billion, two hundred twelve million, eight hundred fifty-six thousand, four hundred forty-six".