8626849920 has 768 divisors, whose sum is σ = 35366647680. Its totient is φ = 1990656000.

The previous prime is 8626849919. The next prime is 8626849939. The reversal of 8626849920 is 299486268.

It is a happy number.

8626849920 is a `hidden beast` number, since 8 + 626 + 8 + 4 + 9 + 9 + 2 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 95 ways as a sum of consecutive naturals, for example, 34369795 + ... + 34370045.

Almost surely, 2^8626849920 is an apocalyptic number.

8626849920 is a gapful number since it is divisible by the number (80) 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 8626849920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17683323840).

8626849920 is an abundant number, since it is smaller than the sum of its proper divisors (26739797760).

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

8626849920 is a wasteful number, since it uses less digits than its factorization.

8626849920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 8626849920 is about 92880.8372055291. The cubic root of 8626849920 is about 2050.9295740577.

The spelling of 8626849920 in words is "eight billion, six hundred twenty-six million, eight hundred forty-nine thousand, nine hundred twenty".