76481858861568 has 240 divisors, whose sum is σ = 221676776171136. Its totient is φ = 25384924938240.

The previous prime is 76481858861537. The next prime is 76481858861599. The reversal of 76481858861568 is 86516885818467.

76481858861568 is a `hidden beast` number, since 7 + 6 + 4 + 8 + 18 + 588 + 6 + 15 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (76481858861537) and next prime (76481858861599).

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 23 ways as a sum of consecutive naturals, for example, 2231531280 + ... + 2231565552.

Almost surely, 2^{76481858861568} 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 76481858861568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110838388085568).

76481858861568 is an abundant number, since it is smaller than the sum of its proper divisors (145194917309568).

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

76481858861568 is a wasteful number, since it uses less digits than its factorization.

76481858861568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36355 (or 36336 counting only the distinct ones).

The product of its digits is 4954521600, while the sum is 81.

The spelling of 76481858861568 in words is "seventy-six trillion, four hundred eighty-one billion, eight hundred fifty-eight million, eight hundred sixty-one thousand, five hundred sixty-eight".