4769925375600 has 1200 divisors, whose sum is σ = 21384689863680. Its totient is φ = 989219174400.

The previous prime is 4769925375581. The next prime is 4769925375637. The reversal of 4769925375600 is 65735299674.

4769925375600 is a `hidden beast` number, since 4 + 7 + 6 + 9 + 92 + 537 + 5 + 6 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1529310841 + ... + 1529313959.

Almost surely, 2^{4769925375600} is an apocalyptic number.

4769925375600 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 4769925375600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10692344931840).

4769925375600 is an abundant number, since it is smaller than the sum of its proper divisors (16614764488080).

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

4769925375600 is a wasteful number, since it uses less digits than its factorization.

4769925375600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3780 (or 3760 counting only the distinct ones).

The product of its (nonzero) digits is 85730400, while the sum is 63.

The spelling of 4769925375600 in words is "four trillion, seven hundred sixty-nine billion, nine hundred twenty-five million, three hundred seventy-five thousand, six hundred".