4547742796800 has 1320 divisors, whose sum is σ = 19404837883904. Its totient is φ = 1030881116160.

The previous prime is 4547742796777. The next prime is 4547742796859. The reversal of 4547742796800 is 86972477454.

4547742796800 is a `hidden beast` number, since 4 + 5 + 47 + 7 + 427 + 96 + 80 + 0 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1843429167 + ... + 1843431633.

Almost surely, 2^{4547742796800} is an apocalyptic number.

4547742796800 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 4547742796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9702418941952).

4547742796800 is an abundant number, since it is smaller than the sum of its proper divisors (14857095087104).

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

4547742796800 is a wasteful number, since it uses less digits than its factorization.

4547742796800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2643 (or 2611 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 63.

The spelling of 4547742796800 in words is "four trillion, five hundred forty-seven billion, seven hundred forty-two million, seven hundred ninety-six thousand, eight hundred".