46873128677760 has 2560 divisors, whose sum is σ = 218422357401600. Its totient is φ = 9294770995200.

The previous prime is 46873128677759. The next prime is 46873128677773. The reversal of 46873128677760 is 6777682137864.

46873128677760 is a `hidden beast` number, since 468 + 7 + 3 + 1 + 28 + 6 + 77 + 76 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 9033169246 + ... + 9033174434.

It is an arithmetic number, because the mean of its divisors is an integer number (85321233360).

Almost surely, 2^{46873128677760} is an apocalyptic number.

46873128677760 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 46873128677760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109211178700800).

46873128677760 is an abundant number, since it is smaller than the sum of its proper divisors (171549228723840).

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

46873128677760 is a wasteful number, since it uses less digits than its factorization.

46873128677760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5342 (or 5321 counting only the distinct ones).

The product of its (nonzero) digits is 796594176, while the sum is 72.

The spelling of 46873128677760 in words is "forty-six trillion, eight hundred seventy-three billion, one hundred twenty-eight million, six hundred seventy-seven thousand, seven hundred sixty".