46284037632 has 800 divisors, whose sum is σ = 168582543360. Its totient is φ = 12361973760.

The previous prime is 46284037621. The next prime is 46284037687. The reversal of 46284037632 is 23673048264.

46284037632 is a `hidden beast` number, since 4 + 6 + 2 + 8 + 4 + 0 + 3 + 7 + 632 = 666.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 332978619 + ... + 332978757.

Almost surely, 2^46284037632 is an apocalyptic number.

46284037632 is a gapful number since it is divisible by the number (42) 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 46284037632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84291271680).

46284037632 is an abundant number, since it is smaller than the sum of its proper divisors (122298505728).

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

46284037632 is a wasteful number, since it uses less digits than its factorization.

46284037632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 46284037632 in words is "forty-six billion, two hundred eighty-four million, thirty-seven thousand, six hundred thirty-two".