8628099480 has 1024 divisors, whose sum is σ = 40410316800. Its totient is φ = 1578424320.

The previous prime is 8628099461. The next prime is 8628099499. The reversal of 8628099480 is 849908268.

8628099480 is a `hidden beast` number, since 8 + 628 + 0 + 9 + 9 + 4 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8628099461) and next prime (8628099499).

It is a super-3 number, since 3×8628099480³ (a number of 31 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 an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 24864667 + ... + 24865013.

It is an arithmetic number, because the mean of its divisors is an integer number (39463200).

Almost surely, 2^8628099480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8628099480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20205158400).

8628099480 is an abundant number, since it is smaller than the sum of its proper divisors (31782217320).

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

8628099480 is a wasteful number, since it uses less digits than its factorization.

8628099480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 8628099480 is about 92887.5636455172. The cubic root of 8628099480 is about 2051.0285918861.

The spelling of 8628099480 in words is "eight billion, six hundred twenty-eight million, ninety-nine thousand, four hundred eighty".