46755055764 has 96 divisors (see below), whose sum is σ = 123298358400. Its totient is φ = 15317786880.

The previous prime is 46755055747. The next prime is 46755055793.

It is a happy number.

46755055764 is a `hidden beast` number, since 4 + 6 + 75 + 505 + 5 + 7 + 64 = 666.

46755055764 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 46755055764.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14353624 + ... + 14356880.

It is an arithmetic number, because the mean of its divisors is an integer number (1284357900).

Almost surely, 2^46755055764 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 46755055764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61649179200).

46755055764 is an abundant number, since it is smaller than the sum of its proper divisors (76543302636).

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

46755055764 is a wasteful number, since it uses less digits than its factorization.

46755055764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5510 (or 5502 counting only the distinct ones).

The product of its (nonzero) digits is 17640000, while the sum is 54.

The spelling of 46755055764 in words is "forty-six billion, seven hundred fifty-five million, fifty-five thousand, seven hundred sixty-four".