4736890368000 has 2912 divisors, whose sum is σ = 21228791625600. Its totient is φ = 1053455155200.

The previous prime is 4736890367981. The next prime is 4736890368173. The reversal of 4736890368000 is 8630986374.

4736890368000 is a `hidden beast` number, since 473 + 6 + 8 + 90 + 3 + 6 + 80 + 0 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 128024063982 + ... + 128024064018.

Almost surely, 2^{4736890368000} is an apocalyptic number.

4736890368000 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 4736890368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10614395812800).

4736890368000 is an abundant number, since it is smaller than the sum of its proper divisors (16491901257600).

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

4736890368000 is an frugal number, since it uses more digits than its factorization.

4736890368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 4736890368000 in words is "four trillion, seven hundred thirty-six billion, eight hundred ninety million, three hundred sixty-eight thousand".