4648169379840 has 384 divisors, whose sum is σ = 17039544238080. Its totient is φ = 1059645947904.

The previous prime is 4648169379839. The next prime is 4648169379853. The reversal of 4648169379840 is 489739618464.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82332102 + ... + 82388538.

It is an arithmetic number, because the mean of its divisors is an integer number (44373813120).

Almost surely, 2^{4648169379840} is an apocalyptic number.

4648169379840 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 4648169379840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8519772119040).

4648169379840 is an abundant number, since it is smaller than the sum of its proper divisors (12391374858240).

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

4648169379840 is a wasteful number, since it uses less digits than its factorization.

4648169379840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56857 (or 56837 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 69.

The spelling of 4648169379840 in words is "four trillion, six hundred forty-eight billion, one hundred sixty-nine million, three hundred seventy-nine thousand, eight hundred forty".