46629743680 has 448 divisors, whose sum is σ = 131088384000. Its totient is φ = 15656509440.

The previous prime is 46629743651. The next prime is 46629743681. The reversal of 46629743680 is 8634792664.

It is a hoax number, since the sum of its digits (55) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (46629743681) 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 63 ways as a sum of consecutive naturals, for example, 234320221 + ... + 234320419.

It is an arithmetic number, because the mean of its divisors is an integer number (292608000).

Almost surely, 2^46629743680 is an apocalyptic number.

46629743680 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 46629743680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65544192000).

46629743680 is an abundant number, since it is smaller than the sum of its proper divisors (84458640320).

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

46629743680 is a wasteful number, since it uses less digits than its factorization.

46629743680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 55.

The spelling of 46629743680 in words is "forty-six billion, six hundred twenty-nine million, seven hundred forty-three thousand, six hundred eighty".