4664245701600 has 288 divisors, whose sum is σ = 16879909616640. Its totient is φ = 1242996088320.

The previous prime is 4664245701571. The next prime is 4664245701607. The reversal of 4664245701600 is 61075424664.

4664245701600 is a `hidden beast` number, since 4 + 6 + 64 + 2 + 4 + 570 + 16 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4664245701607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33778299 + ... + 33916101.

It is an arithmetic number, because the mean of its divisors is an integer number (58610797280).

Almost surely, 2^{4664245701600} is an apocalyptic number.

4664245701600 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 4664245701600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8439954808320).

4664245701600 is an abundant number, since it is smaller than the sum of its proper divisors (12215663915040).

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

4664245701600 is a wasteful number, since it uses less digits than its factorization.

4664245701600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139399 (or 139380 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 4664245701600 in words is "four trillion, six hundred sixty-four billion, two hundred forty-five million, seven hundred one thousand, six hundred".