4644525834720 has 672 divisors, whose sum is σ = 16922820892320. Its totient is φ = 1203311738880.

The previous prime is 4644525834719. The next prime is 4644525834727. The reversal of 4644525834720 is 274385254464.

It is a happy number.

4644525834720 is a `hidden beast` number, since 4 + 6 + 4 + 4 + 52 + 583 + 4 + 7 + 2 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4644525834727) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1229033791 + ... + 1229037569.

It is an arithmetic number, because the mean of its divisors is an integer number (25182769185).

Almost surely, 2^{4644525834720} is an apocalyptic number.

4644525834720 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 4644525834720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8461410446160).

4644525834720 is an abundant number, since it is smaller than the sum of its proper divisors (12278295057600).

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

4644525834720 is a wasteful number, since it uses less digits than its factorization.

4644525834720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4110 (or 4087 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 54.

The spelling of 4644525834720 in words is "four trillion, six hundred forty-four billion, five hundred twenty-five million, eight hundred thirty-four thousand, seven hundred twenty".