4672510098304 has 128 divisors (see below), whose sum is σ = 9487845057600. Its totient is φ = 2291631243264.

The previous prime is 4672510098271. The next prime is 4672510098353. The reversal of 4672510098304 is 4038900152764.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 1827339394 + ... + 1827341950.

It is a 1-persistent number, because it is pandigital, but 2⋅4672510098304 = 9345020196608 is not.

Almost surely, 2^{4672510098304} 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 4672510098304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4743922528800).

4672510098304 is an abundant number, since it is smaller than the sum of its proper divisors (4815334959296).

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

4672510098304 is a wasteful number, since it uses less digits than its factorization.

4672510098304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3640 (or 3628 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

The spelling of 4672510098304 in words is "four trillion, six hundred seventy-two billion, five hundred ten million, ninety-eight thousand, three hundred four".