4763266560000 has 3120 divisors, whose sum is σ = 20863989386240. Its totient is φ = 1074954240000.

The previous prime is 4763266559983. The next prime is 4763266560023. The reversal of 4763266560000 is 656623674.

4763266560000 is a `hidden beast` number, since 4 + 7 + 6 + 32 + 6 + 6 + 5 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3120).

It is a super-2 number, since 2×4763266560000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 153653759985 + ... + 153653760015.

Almost surely, 2^{4763266560000} is an apocalyptic number.

4763266560000 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 4763266560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10431994693120).

4763266560000 is an abundant number, since it is smaller than the sum of its proper divisors (16100722826240).

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

4763266560000 is an equidigital number, since it uses as much as digits as its factorization.

4763266560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 4763266560000 in words is "four trillion, seven hundred sixty-three billion, two hundred sixty-six million, five hundred sixty thousand".