456102728766 has 96 divisors (see below), whose sum is σ = 1051951380480. Its totient is φ = 148042683936.

The previous prime is 456102728761. The next prime is 456102728789. The reversal of 456102728766 is 667827201654.

It is a happy number.

456102728766 is a `hidden beast` number, since 4 + 561 + 0 + 2 + 7 + 2 + 8 + 76 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456102728761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4449195 + ... + 4550553.

It is an arithmetic number, because the mean of its divisors is an integer number (10957826880).

Almost surely, 2^456102728766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456102728766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525975690240).

456102728766 is an abundant number, since it is smaller than the sum of its proper divisors (595848651714).

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

456102728766 is a wasteful number, since it uses less digits than its factorization.

456102728766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101620 (or 101608 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 456102728766 in words is "four hundred fifty-six billion, one hundred two million, seven hundred twenty-eight thousand, seven hundred sixty-six".