4649363804160 has 624 divisors, whose sum is σ = 17170388861184. Its totient is φ = 1159612858368.

The previous prime is 4649363804159. The next prime is 4649363804161. The reversal of 4649363804160 is 614083639464.

It is a happy number.

4649363804160 is a `hidden beast` number, since 4 + 6 + 4 + 93 + 63 + 80 + 416 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4649363804159) and next prime (4649363804161).

It is a junction number, because it is equal to n+sod(n) for n = 4649363804097 and 4649363804106.

It is not an unprimeable number, because it can be changed into a prime (4649363804161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 510746169 + ... + 510755271.

It is an arithmetic number, because the mean of its divisors is an integer number (27516648816).

Almost surely, 2^{4649363804160} is an apocalyptic number.

4649363804160 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 4649363804160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8585194430592).

4649363804160 is an abundant number, since it is smaller than the sum of its proper divisors (12521025057024).

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

4649363804160 is a wasteful number, since it uses less digits than its factorization.

4649363804160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9318 (or 9293 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 4649363804160 in words is "four trillion, six hundred forty-nine billion, three hundred sixty-three million, eight hundred four thousand, one hundred sixty".