9926036640 has 144 divisors (see below), whose sum is σ = 36478253448. Its totient is φ = 2443327488.

The previous prime is 9926036633. The next prime is 9926036641. The reversal of 9926036640 is 466306299.

It can be written as a sum of positive squares in 4 ways, for example, as 7675862544 + 2250174096 = 87612^2 + 47436^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) 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 (45).

It is not an unprimeable number, because it can be changed into a prime (9926036641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 246399 + ... + 283838.

Almost surely, 2^9926036640 is an apocalyptic number.

9926036640 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9926036640 is an abundant number, since it is smaller than the sum of its proper divisors (26552216808).

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

9926036640 is a wasteful number, since it uses less digits than its factorization.

9926036640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530271 (or 530260 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 9926036640 is about 99629.4968370312. The cubic root of 9926036640 is about 2149.1098994415.

The spelling of 9926036640 in words is "nine billion, nine hundred twenty-six million, thirty-six thousand, six hundred forty".