76151110683648 has 2112 divisors, whose sum is σ = 286260438998016. Its totient is φ = 17377630617600.

The previous prime is 76151110683647. The next prime is 76151110683671. The reversal of 76151110683648 is 84638601115167.

It is a tau number, because it is divible by the number of its divisors (2112).

It is not an unprimeable number, because it can be changed into a prime (76151110683647) 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 191 ways as a sum of consecutive naturals, for example, 215725525840 + ... + 215725526192.

Almost surely, 2^{76151110683648} is an apocalyptic number.

76151110683648 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76151110683648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143130219499008).

76151110683648 is an abundant number, since it is smaller than the sum of its proper divisors (210109328314368).

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

76151110683648 is a wasteful number, since it uses less digits than its factorization.

76151110683648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 57.

The spelling of 76151110683648 in words is "seventy-six trillion, one hundred fifty-one billion, one hundred ten million, six hundred eighty-three thousand, six hundred forty-eight".