9967129920 has 896 divisors, whose sum is σ = 42135552000. Its totient is φ = 2189721600.

The previous prime is 9967129897. The next prime is 9967129927. The reversal of 9967129920 is 299217699.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9967129927) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 50085981 + ... + 50086179.

Almost surely, 2^9967129920 is an apocalyptic number.

9967129920 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 9967129920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21067776000).

9967129920 is an abundant number, since it is smaller than the sum of its proper divisors (32168422080).

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

9967129920 is a wasteful number, since it uses less digits than its factorization.

9967129920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 54.

The square root of 9967129920 is about 99835.5143223092. The cubic root of 9967129920 is about 2152.0715508979.

The spelling of 9967129920 in words is "nine billion, nine hundred sixty-seven million, one hundred twenty-nine thousand, nine hundred twenty".