46762444426764 has 96 divisors (see below), whose sum is σ = 122270205447936. Its totient is φ = 13785033012480.

The previous prime is 46762444426721. The next prime is 46762444426793.

46762444426764 is nontrivially palindromic in base 10.

46762444426764 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 46762444426695 and 46762444426704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27084447 + ... + 28759209.

It is an arithmetic number, because the mean of its divisors is an integer number (1273647973416).

Almost surely, 2^{46762444426764} is an apocalyptic number.

46762444426764 is a gapful number since it is divisible by the number (44) 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 46762444426764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61135102723968).

46762444426764 is an abundant number, since it is smaller than the sum of its proper divisors (75507761021172).

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

46762444426764 is a wasteful number, since it uses less digits than its factorization.

46762444426764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680535 (or 1680533 counting only the distinct ones).

The product of its digits is 1040449536, while the sum is 66.

The spelling of 46762444426764 in words is "forty-six trillion, seven hundred sixty-two billion, four hundred forty-four million, four hundred twenty-six thousand, seven hundred sixty-four".