46840135680 has 720 divisors, whose sum is σ = 182342850144. Its totient is φ = 11466178560.

The previous prime is 46840135673. The next prime is 46840135687. The reversal of 46840135680 is 8653104864.

46840135680 is a `hidden beast` number, since 4 + 6 + 84 + 0 + 1 + 3 + 568 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (46840135673) and next prime (46840135687).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46840135687) 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, 258785190 + ... + 258785370.

Almost surely, 2^46840135680 is an apocalyptic number.

46840135680 is a gapful number since it is divisible by the number (40) 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 46840135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91171425072).

46840135680 is an abundant number, since it is smaller than the sum of its proper divisors (135502714464).

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

46840135680 is an equidigital number, since it uses as much as digits as its factorization.

46840135680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 46840135680 in words is "forty-six billion, eight hundred forty million, one hundred thirty-five thousand, six hundred eighty".