4773262348800 has 2400 divisors, whose sum is σ = 20794213085184. Its totient is φ = 1069314048000.

The previous prime is 4773262348763. The next prime is 4773262348801. The reversal of 4773262348800 is 88432623774.

It is a happy number.

4773262348800 is a `hidden beast` number, since 4 + 7 + 7 + 3 + 2 + 623 + 4 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a super-2 number, since 2×4773262348800² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4773262348801) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 8131622107 + ... + 8131622693.

Almost surely, 2^{4773262348800} is an apocalyptic number.

4773262348800 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 4773262348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10397106542592).

4773262348800 is an abundant number, since it is smaller than the sum of its proper divisors (16020950736384).

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

4773262348800 is a wasteful number, since it uses less digits than its factorization.

4773262348800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 4773262348800 in words is "four trillion, seven hundred seventy-three billion, two hundred sixty-two million, three hundred forty-eight thousand, eight hundred".