4640212846080 has 640 divisors, whose sum is σ = 19486667059200. Its totient is φ = 1024043876352.

The previous prime is 4640212845967. The next prime is 4640212846081. The reversal of 4640212846080 is 806482120464.

4640212846080 is a `hidden beast` number, since 4 + 6 + 402 + 128 + 46 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 (4640212846081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13866009 + ... + 14196711.

It is an arithmetic number, because the mean of its divisors is an integer number (30447917280).

Almost surely, 2^{4640212846080} is an apocalyptic number.

4640212846080 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 4640212846080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9743333529600).

4640212846080 is an abundant number, since it is smaller than the sum of its proper divisors (14846454213120).

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

4640212846080 is a wasteful number, since it uses less digits than its factorization.

4640212846080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330771 (or 330749 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 4640212846080 in words is "four trillion, six hundred forty billion, two hundred twelve million, eight hundred forty-six thousand, eighty".