76444144077312 has 1600 divisors, whose sum is σ = 267354168238080. Its totient is φ = 21516934348800.

The previous prime is 76444144077299. The next prime is 76444144077361. The reversal of 76444144077312 is 21377044144467.

76444144077312 is a `hidden beast` number, since 7 + 64 + 4 + 41 + 440 + 77 + 31 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 53123101489 + ... + 53123102927.

Almost surely, 2^{76444144077312} is an apocalyptic number.

76444144077312 is a gapful number since it is divisible by the number (72) 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 76444144077312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133677084119040).

76444144077312 is an abundant number, since it is smaller than the sum of its proper divisors (190910024160768).

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

76444144077312 is a wasteful number, since it uses less digits than its factorization.

76444144077312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 12644352, while the sum is 54.

The spelling of 76444144077312 in words is "seventy-six trillion, four hundred forty-four billion, one hundred forty-four million, seventy-seven thousand, three hundred twelve".