4758000273000 has 1536 divisors, whose sum is σ = 19465100928000. Its totient is φ = 1035539251200.

The previous prime is 4758000272989. The next prime is 4758000273007. The reversal of 4758000273000 is 3720008574.

4758000273000 is a `hidden beast` number, since 4 + 7 + 580 + 0 + 0 + 2 + 73 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4758000273007) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5177366541 + ... + 5177367459.

It is an arithmetic number, because the mean of its divisors is an integer number (12672591750).

Almost surely, 2^{4758000273000} is an apocalyptic number.

4758000273000 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 4758000273000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9732550464000).

4758000273000 is an abundant number, since it is smaller than the sum of its proper divisors (14707100655000).

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

4758000273000 is a wasteful number, since it uses less digits than its factorization.

4758000273000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 4758000273000 in words is "four trillion, seven hundred fifty-eight billion, two hundred seventy-three thousand".