4958764012800 has 540 divisors, whose sum is σ = 19745206759740. Its totient is φ = 1220617175040.

The previous prime is 4958764012781. The next prime is 4958764012823. The reversal of 4958764012800 is 82104678594.

It is a happy number.

4958764012800 is a `hidden beast` number, since 4 + 9 + 587 + 6 + 40 + 12 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1429535879424 + 3529228133376 = 1195632^2 + 1878624^2 .

It is a tau number, because it is divible by the number of its divisors (540).

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 polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6371296 + ... + 7107104.

Almost surely, 2^{4958764012800} is an apocalyptic number.

4958764012800 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 4958764012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9872603379870).

4958764012800 is an abundant number, since it is smaller than the sum of its proper divisors (14786442746940).

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

4958764012800 is a wasteful number, since it uses less digits than its factorization.

4958764012800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735860 (or 735832 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 4958764012800 in words is "four trillion, nine hundred fifty-eight billion, seven hundred sixty-four million, twelve thousand, eight hundred".