4737904463040 has 896 divisors, whose sum is σ = 18343853015040. Its totient is φ = 1013199667200.

The previous prime is 4737904463011. The next prime is 4737904463053. The reversal of 4737904463040 is 403644097374.

It is a super-3 number, since 3×4737904463040³ (a number of 39 digits) contains 333 as substring.

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 127 ways as a sum of consecutive naturals, for example, 965144106 + ... + 965149014.

It is an arithmetic number, because the mean of its divisors is an integer number (20473050240).

Almost surely, 2^{4737904463040} is an apocalyptic number.

4737904463040 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 4737904463040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9171926507520).

4737904463040 is an abundant number, since it is smaller than the sum of its proper divisors (13605948552000).

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

4737904463040 is a wasteful number, since it uses less digits than its factorization.

4737904463040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5121 (or 5111 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 51.

The spelling of 4737904463040 in words is "four trillion, seven hundred thirty-seven billion, nine hundred four million, four hundred sixty-three thousand, forty".