4766954976000 has 1440 divisors, whose sum is σ = 21156815167488. Its totient is φ = 1042125004800.

The previous prime is 4766954975987. The next prime is 4766954976011. The reversal of 4766954976000 is 6794596674.

4766954976000 is a `hidden beast` number, since 476 + 6 + 95 + 4 + 9 + 76 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×4766954976000² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 417306289 + ... + 417317711.

Almost surely, 2^{4766954976000} is an apocalyptic number.

4766954976000 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 4766954976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10578407583744).

4766954976000 is an abundant number, since it is smaller than the sum of its proper divisors (16389860191488).

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

4766954976000 is a wasteful number, since it uses less digits than its factorization.

4766954976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11496 (or 11463 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 4766954976000 in words is "four trillion, seven hundred sixty-six billion, nine hundred fifty-four million, nine hundred seventy-six thousand".