4756325745600 has 2688 divisors, whose sum is σ = 21144146688000. Its totient is φ = 1024789708800.

The previous prime is 4756325745583. The next prime is 4756325745643. The reversal of 4756325745600 is 65475236574.

4756325745600 is a `hidden beast` number, since 4 + 7 + 5 + 6 + 3 + 2 + 5 + 74 + 560 + 0 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 23901134301 + ... + 23901134499.

It is an arithmetic number, because the mean of its divisors is an integer number (7866126000).

Almost surely, 2^{4756325745600} is an apocalyptic number.

4756325745600 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 4756325745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10572073344000).

4756325745600 is an abundant number, since it is smaller than the sum of its proper divisors (16387820942400).

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

4756325745600 is a wasteful number, since it uses less digits than its factorization.

4756325745600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 21168000, while the sum is 54.

The spelling of 4756325745600 in words is "four trillion, seven hundred fifty-six billion, three hundred twenty-five million, seven hundred forty-five thousand, six hundred".