4627260000 has 960 divisors, whose sum is σ = 19838649600. Its totient is φ = 1036800000.

The previous prime is 4627259977. The next prime is 4627260007. The reversal of 4627260000 is 627264.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4627260007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 112859980 + ... + 112860020.

It is an arithmetic number, because the mean of its divisors is an integer number (20665260).

Almost surely, 2^4627260000 is an apocalyptic number.

4627260000 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 4627260000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9919324800).

4627260000 is an abundant number, since it is smaller than the sum of its proper divisors (15211389600).

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

4627260000 is a wasteful number, since it uses less digits than its factorization.

4627260000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 4627260000 is about 68023.9663648041. The cubic root of 4627260000 is about 1666.3822625825.

Adding to 4627260000 its reverse (627264), we get a palindrome (4627887264).

The spelling of 4627260000 in words is "four billion, six hundred twenty-seven million, two hundred sixty thousand".