46643993760 has 1536 divisors, whose sum is σ = 205922304000. Its totient is φ = 8778792960.

The previous prime is 46643993743. The next prime is 46643993761. The reversal of 46643993760 is 6739934664.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 46643993760.

It is not an unprimeable number, because it can be changed into a prime (46643993761) 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 255 ways as a sum of consecutive naturals, for example, 1260648462 + ... + 1260648498.

It is an arithmetic number, because the mean of its divisors is an integer number (134064000).

Almost surely, 2^46643993760 is an apocalyptic number.

46643993760 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 46643993760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102961152000).

46643993760 is an abundant number, since it is smaller than the sum of its proper divisors (159278310240).

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

46643993760 is a wasteful number, since it uses less digits than its factorization.

46643993760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 57.

It can be divided in two parts, 46643 and 993760, that added together give a triangular number (1040403 = T₁₄₄₂).

The spelling of 46643993760 in words is "forty-six billion, six hundred forty-three million, nine hundred ninety-three thousand, seven hundred sixty".