9956802240 has 672 divisors, whose sum is σ = 43478622720. Its totient is φ = 2031206400.

The previous prime is 9956802179. The next prime is 9956802341. The reversal of 9956802240 is 422086599.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 13083460 + ... + 13084220.

Almost surely, 2^9956802240 is an apocalyptic number.

9956802240 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 9956802240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21739311360).

9956802240 is an abundant number, since it is smaller than the sum of its proper divisors (33521820480).

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

9956802240 is a wasteful number, since it uses less digits than its factorization.

9956802240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 9956802240 is about 99783.7774390206. Note that the first 3 decimals coincide. The cubic root of 9956802240 is about 2151.3279872191.

The spelling of 9956802240 in words is "nine billion, nine hundred fifty-six million, eight hundred two thousand, two hundred forty".