9949065840 has 960 divisors, whose sum is σ = 42910110720. Its totient is φ = 2107607040.

The previous prime is 9949065811. The next prime is 9949065851. The reversal of 9949065840 is 485609499.

9949065840 is a `hidden beast` number, since 99 + 490 + 65 + 8 + 4 + 0 = 666.

It is a super-2 number, since 2×9949065840² (a number of 21 digits) contains 22 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 191 ways as a sum of consecutive naturals, for example, 148493487 + ... + 148493553.

It is an arithmetic number, because the mean of its divisors is an integer number (44698032).

Almost surely, 2^9949065840 is an apocalyptic number.

9949065840 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 9949065840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21455055360).

9949065840 is an abundant number, since it is smaller than the sum of its proper divisors (32961044880).

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

9949065840 is a wasteful number, since it uses less digits than its factorization.

9949065840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 9949065840 is about 99745.0040854177. The cubic root of 9949065840 is about 2150.7706514414.

The spelling of 9949065840 in words is "nine billion, nine hundred forty-nine million, sixty-five thousand, eight hundred forty".