4325973746688 has 528 divisors, whose sum is σ = 13911711353280. Its totient is φ = 1283771596800.

The previous prime is 4325973746683. The next prime is 4325973746711. The reversal of 4325973746688 is 8866473795234.

4325973746688 is a `hidden beast` number, since 4 + 3 + 2 + 59 + 7 + 37 + 466 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (4325973746681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 965401408 + ... + 965405888.

Almost surely, 2^{4325973746688} is an apocalyptic number.

4325973746688 is a gapful number since it is divisible by the number (48) 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 4325973746688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6955855676640).

4325973746688 is an abundant number, since it is smaller than the sum of its proper divisors (9585737606592).

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

4325973746688 is a wasteful number, since it uses less digits than its factorization.

4325973746688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4714 (or 4693 counting only the distinct ones).

The product of its digits is 1463132160, while the sum is 72.

The spelling of 4325973746688 in words is "four trillion, three hundred twenty-five billion, nine hundred seventy-three million, seven hundred forty-six thousand, six hundred eighty-eight".