71763611561400 has 384 divisors, whose sum is σ = 244608737967360. Its totient is φ = 17259953664000.

The previous prime is 71763611561393. The next prime is 71763611561401. The reversal of 71763611561400 is 416511636717.

It is a self number, because there is not a number n which added to its sum of digits gives 71763611561400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71763611561401) 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 95 ways as a sum of consecutive naturals, for example, 1574189407 + ... + 1574234993.

It is an arithmetic number, because the mean of its divisors is an integer number (637001921790).

Almost surely, 2^{71763611561400} 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 71763611561400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122304368983680).

71763611561400 is an abundant number, since it is smaller than the sum of its proper divisors (172845126405960).

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

71763611561400 is a wasteful number, since it uses less digits than its factorization.

71763611561400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47495 (or 47486 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 48.

The spelling of 71763611561400 in words is "seventy-one trillion, seven hundred sixty-three billion, six hundred eleven million, five hundred sixty-one thousand, four hundred".