46636836480 has 1024 divisors, whose sum is σ = 189620121600. Its totient is φ = 10749542400.

The previous prime is 46636836439. The next prime is 46636836487. The reversal of 46636836480 is 8463863664.

46636836480 is a `hidden beast` number, since 46 + 63 + 68 + 3 + 6 + 480 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (46636836487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 257661990 + ... + 257662170.

It is an arithmetic number, because the mean of its divisors is an integer number (185175900).

Almost surely, 2^46636836480 is an apocalyptic number.

46636836480 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 46636836480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94810060800).

46636836480 is an abundant number, since it is smaller than the sum of its proper divisors (142983285120).

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

46636836480 is a wasteful number, since it uses less digits than its factorization.

46636836480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 46636836480 in words is "forty-six billion, six hundred thirty-six million, eight hundred thirty-six thousand, four hundred eighty".