4626090906480 has 160 divisors (see below), whose sum is σ = 15941702790720. Its totient is φ = 1233052139520.

The previous prime is 4626090906439. The next prime is 4626090906487. The reversal of 4626090906480 is 846090906264.

4626090906480 is a `hidden beast` number, since 4 + 626 + 0 + 9 + 0 + 9 + 0 + 6 + 4 + 8 + 0 = 666.

It is a super-3 number, since 3×4626090906480³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4626090906487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4172224 + ... + 5163296.

It is an arithmetic number, because the mean of its divisors is an integer number (99635642442).

Almost surely, 2^{4626090906480} is an apocalyptic number.

4626090906480 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 4626090906480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7970851395360).

4626090906480 is an abundant number, since it is smaller than the sum of its proper divisors (11315611884240).

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

4626090906480 is a wasteful number, since it uses less digits than its factorization.

4626090906480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993256 (or 993244 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 4626090906480 in words is "four trillion, six hundred twenty-six billion, ninety million, nine hundred six thousand, four hundred eighty".