4649769972000 has 576 divisors, whose sum is σ = 16889378688000. Its totient is φ = 1210948454400.

The previous prime is 4649769971969. The next prime is 4649769972079. The reversal of 4649769972000 is 2799679464.

4649769972000 is a `hidden beast` number, since 464 + 9 + 7 + 69 + 97 + 20 + 0 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 861225301 + ... + 861230699.

It is an arithmetic number, because the mean of its divisors is an integer number (29321838000).

Almost surely, 2^{4649769972000} is an apocalyptic number.

4649769972000 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 4649769972000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8444689344000).

4649769972000 is an abundant number, since it is smaller than the sum of its proper divisors (12239608716000).

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

4649769972000 is a wasteful number, since it uses less digits than its factorization.

4649769972000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5986 (or 5965 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 4649769972000 in words is "four trillion, six hundred forty-nine billion, seven hundred sixty-nine million, nine hundred seventy-two thousand".