4645935840000 has 720 divisors, whose sum is σ = 19017113975552. Its totient is φ = 980232192000.

The previous prime is 4645935839977. The next prime is 4645935840017. The reversal of 4645935840000 is 485395464.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 43626819 + ... + 43733181.

Almost surely, 2^{4645935840000} is an apocalyptic number.

4645935840000 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 4645935840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9508556987776).

4645935840000 is an abundant number, since it is smaller than the sum of its proper divisors (14371178135552).

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

4645935840000 is a wasteful number, since it uses less digits than its factorization.

4645935840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106422 (or 106393 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 4645935840000 in words is "four trillion, six hundred forty-five billion, nine hundred thirty-five million, eight hundred forty thousand".