76857463148544 has 624 divisors, whose sum is σ = 254550104054064. Its totient is φ = 22133971353600.

The previous prime is 76857463148533. The next prime is 76857463148549. The reversal of 76857463148544 is 44584136475867.

76857463148544 is a `hidden beast` number, since 7 + 6 + 8 + 5 + 7 + 4 + 6 + 31 + 48 + 544 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5290736025600 + 71566727122944 = 2300160^2 + 8459712^2 .

It is a tau number, because it is divible by the number of its divisors (624).

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

It is not an unprimeable number, because it can be changed into a prime (76857463148549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1474570804 + ... + 1474622924.

It is an arithmetic number, because the mean of its divisors is an integer number (407932859061).

Almost surely, 2^{76857463148544} 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 76857463148544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127275052027032).

76857463148544 is an abundant number, since it is smaller than the sum of its proper divisors (177692640905520).

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

76857463148544 is a wasteful number, since it uses less digits than its factorization.

76857463148544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52362 (or 52337 counting only the distinct ones).

The product of its digits is 2167603200, while the sum is 72.

The spelling of 76857463148544 in words is "seventy-six trillion, eight hundred fifty-seven billion, four hundred sixty-three million, one hundred forty-eight thousand, five hundred forty-four".