4649508864000 has 4080 divisors, whose sum is σ = 23691945172896. Its totient is φ = 891813888000.

The previous prime is 4649508863929. The next prime is 4649508864059. The reversal of 4649508864000 is 4688059464.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 357654527994 + ... + 357654528006.

Almost surely, 2^{4649508864000} is an apocalyptic number.

4649508864000 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 4649508864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11845972586448).

4649508864000 is an abundant number, since it is smaller than the sum of its proper divisors (19042436308896).

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

4649508864000 is an equidigital number, since it uses as much as digits as its factorization.

4649508864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 4649508864000 in words is "four trillion, six hundred forty-nine billion, five hundred eight million, eight hundred sixty-four thousand".