9649069920 has 960 divisors, whose sum is σ = 41590112256. Its totient is φ = 2060328960.

The previous prime is 9649069909. The next prime is 9649069939. The reversal of 9649069920 is 299609469.

9649069920 is a `hidden beast` number, since 9 + 6 + 490 + 69 + 92 + 0 = 666.

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 159 ways as a sum of consecutive naturals, for example, 132179004 + ... + 132179076.

Almost surely, 2^9649069920 is an apocalyptic number.

9649069920 is a gapful number since it is divisible by the number (90) 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 9649069920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20795056128).

9649069920 is an abundant number, since it is smaller than the sum of its proper divisors (31941042336).

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

9649069920 is a wasteful number, since it uses less digits than its factorization.

9649069920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 54.

The square root of 9649069920 is about 98229.6794253142. The cubic root of 9649069920 is about 2128.9321368113.

The spelling of 9649069920 in words is "nine billion, six hundred forty-nine million, sixty-nine thousand, nine hundred twenty".