4738564051200 has 972 divisors, whose sum is σ = 19761697240740. Its totient is φ = 1080116674560.

The previous prime is 4738564051139. The next prime is 4738564051213. The reversal of 4738564051200 is 21504658374.

4738564051200 is a `hidden beast` number, since 4 + 7 + 38 + 5 + 6 + 405 + 1 + 200 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 432374632704 + 4306189418496 = 657552^2 + 2075136^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1120490686 + ... + 1120494914.

Almost surely, 2^{4738564051200} is an apocalyptic number.

4738564051200 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 4738564051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9880848620370).

4738564051200 is an abundant number, since it is smaller than the sum of its proper divisors (15023133189540).

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

4738564051200 is a wasteful number, since it uses less digits than its factorization.

4738564051200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4672 (or 4643 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 4738564051200 in words is "four trillion, seven hundred thirty-eight billion, five hundred sixty-four million, fifty-one thousand, two hundred".