4467725306064 has 240 divisors, whose sum is σ = 13533415930944. Its totient is φ = 1425502540800.

The previous prime is 4467725306047. The next prime is 4467725306081. The reversal of 4467725306064 is 4606035277644.

4467725306064 is a `hidden beast` number, since 4 + 4 + 6 + 7 + 7 + 25 + 3 + 0 + 606 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (4467725306047) and next prime (4467725306081).

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

It is a self number, because there is not a number n which added to its sum of digits gives 4467725306064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8184219 + ... + 8713029.

Almost surely, 2^{4467725306064} 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 4467725306064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6766707965472).

4467725306064 is an abundant number, since it is smaller than the sum of its proper divisors (9065690624880).

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

4467725306064 is a wasteful number, since it uses less digits than its factorization.

4467725306064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528928 (or 528910 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 54.

The spelling of 4467725306064 in words is "four trillion, four hundred sixty-seven billion, seven hundred twenty-five million, three hundred six thousand, sixty-four".