46215636480 has 640 divisors, whose sum is σ = 186163084800. Its totient is φ = 10773430272.

The previous prime is 46215636469. The next prime is 46215636487. The reversal of 46215636480 is 8463651264.

46215636480 is a `hidden beast` number, since 4 + 6 + 2 + 1 + 5 + 636 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 (46215636487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17071287 + ... + 17073993.

It is an arithmetic number, because the mean of its divisors is an integer number (290879820).

Almost surely, 2^46215636480 is an apocalyptic number.

46215636480 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 46215636480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93081542400).

46215636480 is an abundant number, since it is smaller than the sum of its proper divisors (139947448320).

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

46215636480 is a wasteful number, since it uses less digits than its factorization.

46215636480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2771 (or 2749 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 46215636480 in words is "forty-six billion, two hundred fifteen million, six hundred thirty-six thousand, four hundred eighty".