4649853288960 has 480 divisors, whose sum is σ = 18218410322112. Its totient is φ = 1127235502080.

The previous prime is 4649853288959. The next prime is 4649853288973. The reversal of 4649853288960 is 698823589464.

It is a happy number.

4649853288960 is a `hidden beast` number, since 4 + 6 + 4 + 9 + 8 + 532 + 8 + 89 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×4649853288960² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6503122 + ... + 7182638.

Almost surely, 2^{4649853288960} is an apocalyptic number.

4649853288960 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 4649853288960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9109205161056).

4649853288960 is an abundant number, since it is smaller than the sum of its proper divisors (13568557033152).

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

4649853288960 is an equidigital number, since it uses as much as digits as its factorization.

4649853288960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679566 (or 679538 counting only the distinct ones).

The product of its (nonzero) digits is 716636160, while the sum is 72.

The spelling of 4649853288960 in words is "four trillion, six hundred forty-nine billion, eight hundred fifty-three million, two hundred eighty-eight thousand, nine hundred sixty".