4625430345264 has 80 divisors (see below), whose sum is σ = 12158042192640. Its totient is φ = 1514868499200.

The previous prime is 4625430345227. The next prime is 4625430345281.

4625430345264 is nontrivially palindromic in base 10.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4880589 + ... + 5750739.

It is an arithmetic number, because the mean of its divisors is an integer number (151975527408).

Almost surely, 2^{4625430345264} 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 4625430345264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6079021096320).

4625430345264 is an abundant number, since it is smaller than the sum of its proper divisors (7532611847376).

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

4625430345264 is a wasteful number, since it uses less digits than its factorization.

4625430345264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872098 (or 872092 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 48.

The spelling of 4625430345264 in words is "four trillion, six hundred twenty-five billion, four hundred thirty million, three hundred forty-five thousand, two hundred sixty-four".