76367344928448 has 224 divisors, whose sum is σ = 231624847489536. Its totient is φ = 21752697618432.

The previous prime is 76367344928443. The next prime is 76367344928509. The reversal of 76367344928448 is 84482944376367.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Smith number, since the sum of its digits (75) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 76367344928448.

It is not an unprimeable number, because it can be changed into a prime (76367344928443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2582318590 + ... + 2582348162.

Almost surely, 2^{76367344928448} 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 76367344928448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115812423744768).

76367344928448 is an abundant number, since it is smaller than the sum of its proper divisors (155257502561088).

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

76367344928448 is a wasteful number, since it uses less digits than its factorization.

76367344928448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35391 (or 35381 counting only the distinct ones).

The product of its digits is 4682022912, while the sum is 75.

The spelling of 76367344928448 in words is "seventy-six trillion, three hundred sixty-seven billion, three hundred forty-four million, nine hundred twenty-eight thousand, four hundred forty-eight".