46782028764 has 96 divisors (see below), whose sum is σ = 124268256000. Its totient is φ = 15213976128.

The previous prime is 46782028763. The next prime is 46782028781.

It is a happy number.

46782028764 is nontrivially palindromic in base 10.

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

It is a self number, because there is not a number n which added to its sum of digits gives 46782028764.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46782028763) 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, 1001767 + ... + 1047425.

It is an arithmetic number, because the mean of its divisors is an integer number (1294461000).

Almost surely, 2^46782028764 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 46782028764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62134128000).

46782028764 is an abundant number, since it is smaller than the sum of its proper divisors (77486227236).

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

46782028764 is a wasteful number, since it uses less digits than its factorization.

46782028764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45904 (or 45896 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 46782028764 in words is "forty-six billion, seven hundred eighty-two million, twenty-eight thousand, seven hundred sixty-four".