4727115909000 has 256 divisors, whose sum is σ = 16431304032000. Its totient is φ = 1257182035200.

The previous prime is 4727115908989. The next prime is 4727115909001. The reversal of 4727115909000 is 9095117274.

4727115909000 is a `hidden beast` number, since 47 + 2 + 7 + 11 + 590 + 9 + 0 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4727115909001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9836311 + ... + 10305689.

It is an arithmetic number, because the mean of its divisors is an integer number (64184781375).

Almost surely, 2^{4727115909000} is an apocalyptic number.

4727115909000 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 4727115909000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8215652016000).

4727115909000 is an abundant number, since it is smaller than the sum of its proper divisors (11704188123000).

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

4727115909000 is a wasteful number, since it uses less digits than its factorization.

4727115909000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469782 (or 469762 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The spelling of 4727115909000 in words is "four trillion, seven hundred twenty-seven billion, one hundred fifteen million, nine hundred nine thousand".