4201625648 has 80 divisors (see below), whose sum is σ = 9754732800. Its totient is φ = 1730615040.

The previous prime is 4201625627. The next prime is 4201625657. The reversal of 4201625648 is 8465261024.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49598 + ... + 104226.

It is an arithmetic number, because the mean of its divisors is an integer number (121934160).

Almost surely, 2^4201625648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4201625648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4877366400).

4201625648 is an abundant number, since it is smaller than the sum of its proper divisors (5553107152).

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

4201625648 is a wasteful number, since it uses less digits than its factorization.

4201625648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54690 (or 54684 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

The square root of 4201625648 is about 64819.9479172885. The cubic root of 4201625648 is about 1613.6367832248.

The spelling of 4201625648 in words is "four billion, two hundred one million, six hundred twenty-five thousand, six hundred forty-eight".