76751161244640 has 576 divisors, whose sum is σ = 268509136896000. Its totient is φ = 19959575150592.

The previous prime is 76751161244609. The next prime is 76751161244647. The reversal of 76751161244640 is 4644216115767.

76751161244640 is a `hidden beast` number, since 7 + 6 + 7 + 5 + 11 + 612 + 4 + 4 + 6 + 4 + 0 = 666.

It is a super-2 number, since 2×76751161244640² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76751161244647) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3020616256 + ... + 3020641664.

It is an arithmetic number, because the mean of its divisors is an integer number (466161696000).

Almost surely, 2^{76751161244640} 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 76751161244640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134254568448000).

76751161244640 is an abundant number, since it is smaller than the sum of its proper divisors (191757975651360).

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

76751161244640 is a wasteful number, since it uses less digits than its factorization.

76751161244640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25839 (or 25828 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 76751161244640 in words is "seventy-six trillion, seven hundred fifty-one billion, one hundred sixty-one million, two hundred forty-four thousand, six hundred forty".