46127241720 has 864 divisors, whose sum is σ = 192648203280. Its totient is φ = 9876142080.

The previous prime is 46127241707. The next prime is 46127241739. The reversal of 46127241720 is 2714272164.

46127241720 is a `hidden beast` number, since 4 + 612 + 7 + 2 + 4 + 17 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 218612415 + ... + 218612625.

Almost surely, 2^46127241720 is an apocalyptic number.

46127241720 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 46127241720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96324101640).

46127241720 is an abundant number, since it is smaller than the sum of its proper divisors (146520961560).

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

46127241720 is a wasteful number, since it uses less digits than its factorization.

46127241720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 46127241720 in words is "forty-six billion, one hundred twenty-seven million, two hundred forty-one thousand, seven hundred twenty".