4622428661760 has 1152 divisors, whose sum is σ = 20756028384000. Its totient is φ = 923919187968.

The previous prime is 4622428661759. The next prime is 4622428661833. The reversal of 4622428661760 is 671668242264.

It is a happy number.

4622428661760 is a `hidden beast` number, since 4 + 622 + 4 + 2 + 8 + 6 + 6 + 1 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 4622428661697 and 4622428661706.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 159330136 + ... + 159359144.

It is an arithmetic number, because the mean of its divisors is an integer number (18017385750).

Almost surely, 2^{4622428661760} is an apocalyptic number.

4622428661760 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 4622428661760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10378014192000).

4622428661760 is an abundant number, since it is smaller than the sum of its proper divisors (16133599722240).

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

4622428661760 is a wasteful number, since it uses less digits than its factorization.

4622428661760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29081 (or 29058 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 4622428661760 in words is "four trillion, six hundred twenty-two billion, four hundred twenty-eight million, six hundred sixty-one thousand, seven hundred sixty".