46416106620 has 384 divisors, whose sum is σ = 167526374400. Its totient is φ = 10571129856.

The previous prime is 46416106619. The next prime is 46416106729. The reversal of 46416106620 is 2660161464.

46416106620 is a `hidden beast` number, since 4 + 6 + 4 + 16 + 10 + 6 + 620 = 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 127 ways as a sum of consecutive naturals, for example, 5731294 + ... + 5739386.

It is an arithmetic number, because the mean of its divisors is an integer number (436266600).

Almost surely, 2^46416106620 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46416106620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83763187200).

46416106620 is an abundant number, since it is smaller than the sum of its proper divisors (121110267780).

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

46416106620 is a wasteful number, since it uses less digits than its factorization.

46416106620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8186 (or 8178 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 46416106620 in words is "forty-six billion, four hundred sixteen million, one hundred six thousand, six hundred twenty".