76838267873536 has 729 divisors, whose sum is σ = 184070203036209. Its totient is φ = 31990898294784.

The previous prime is 76838267873473. The next prime is 76838267873537. The reversal of 76838267873536 is 63537876283867.

The square root of 76838267873536 is 8765744.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 13089924000000 + 63748343873536 = 3618000^2 + 7984256^2 .

It is not an unprimeable number, because it can be changed into a prime (76838267873537) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 1146839818975 + ... + 1146839819041.

Almost surely, 2^{76838267873536} is an apocalyptic number.

76838267873536 is the 8765744-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76838267873536

76838267873536 is an abundant number, since it is smaller than the sum of its proper divisors (107231935162673).

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

76838267873536 is an equidigital number, since it uses as much as digits as its factorization.

76838267873536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 136 counting only the distinct ones).

The product of its digits is 10241925120, while the sum is 79.

The spelling of 76838267873536 in words is "seventy-six trillion, eight hundred thirty-eight billion, two hundred sixty-seven million, eight hundred seventy-three thousand, five hundred thirty-six".