4907345264640 has 2880 divisors, whose sum is σ = 22642133310720. Its totient is φ = 1011316948992.

The previous prime is 4907345264621. The next prime is 4907345264659. The reversal of 4907345264640 is 464625437094.

4907345264640 is a `hidden beast` number, since 4 + 9 + 0 + 7 + 34 + 526 + 46 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (4907345264621) and next prime (4907345264659).

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 114124308459 + ... + 114124308501.

It is an arithmetic number, because the mean of its divisors is an integer number (7861851844).

Almost surely, 2^{4907345264640} is an apocalyptic number.

4907345264640 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 4907345264640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11321066655360).

4907345264640 is an abundant number, since it is smaller than the sum of its proper divisors (17734788046080).

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

4907345264640 is an frugal number, since it uses more digits than its factorization.

4907345264640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 4907345264640 in words is "four trillion, nine hundred seven billion, three hundred forty-five million, two hundred sixty-four thousand, six hundred forty".