46663388640 has 216 divisors, whose sum is σ = 175031746344. Its totient is φ = 11312294400.

The previous prime is 46663388633. The next prime is 46663388659. The reversal of 46663388640 is 4688336664.

It is a super-4 number, since 4×46663388640⁴ (a number of 44 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 40335 + ... + 308145.

It is an arithmetic number, because the mean of its divisors is an integer number (810332159).

Almost surely, 2^46663388640 is an apocalyptic number.

46663388640 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 46663388640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87515873172).

46663388640 is an abundant number, since it is smaller than the sum of its proper divisors (128368357704).

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

46663388640 is a wasteful number, since it uses less digits than its factorization.

46663388640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267854 (or 267832 counting only the distinct ones).

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

The spelling of 46663388640 in words is "forty-six billion, six hundred sixty-three million, three hundred eighty-eight thousand, six hundred forty".