763126090496 has 144 divisors (see below), whose sum is σ = 1901342274048. Its totient is φ = 296977612800.

The previous prime is 763126090471. The next prime is 763126090607. The reversal of 763126090496 is 694090621367.

763126090496 is digitally balanced in base 12, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×763126090496³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

763126090496 is strictly pandigital in base 12.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17344301 + ... + 17388243.

It is an arithmetic number, because the mean of its divisors is an integer number (13203765792).

Almost surely, 2^763126090496 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 763126090496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950671137024).

763126090496 is an abundant number, since it is smaller than the sum of its proper divisors (1138216183552).

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

763126090496 is a wasteful number, since it uses less digits than its factorization.

763126090496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44858 (or 44844 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 53.

The spelling of 763126090496 in words is "seven hundred sixty-three billion, one hundred twenty-six million, ninety thousand, four hundred ninety-six".