9960426000 has 720 divisors, whose sum is σ = 42313684608. Its totient is φ = 2173248000.

The previous prime is 9960425989. The next prime is 9960426017. The reversal of 9960426000 is 6240699.

9960426000 is a `hidden beast` number, since 9 + 9 + 6 + 0 + 42 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×9960426000² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20285755 + ... + 20286245.

Almost surely, 2^9960426000 is an apocalyptic number.

9960426000 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 9960426000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21156842304).

9960426000 is an abundant number, since it is smaller than the sum of its proper divisors (32353258608).

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

9960426000 is a wasteful number, since it uses less digits than its factorization.

9960426000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 9960426000 is about 99801.9338489991. The cubic root of 9960426000 is about 2151.5889461944.

Adding to 9960426000 its reverse (6240699), we get a palindrome (9966666699).

The spelling of 9960426000 in words is "nine billion, nine hundred sixty million, four hundred twenty-six thousand".