9967491072 has 384 divisors, whose sum is σ = 36827481600. Its totient is φ = 2587852800.

The previous prime is 9967491043. The next prime is 9967491077. The reversal of 9967491072 is 2701947699.

9967491072 is a `hidden beast` number, since 99 + 67 + 491 + 0 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 (9967491077) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4256622 + ... + 4258962.

It is an arithmetic number, because the mean of its divisors is an integer number (95904900).

Almost surely, 2^9967491072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9967491072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18413740800).

9967491072 is an abundant number, since it is smaller than the sum of its proper divisors (26859990528).

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

9967491072 is a wasteful number, since it uses less digits than its factorization.

9967491072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2390 (or 2364 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The square root of 9967491072 is about 99837.3230410351. The cubic root of 9967491072 is about 2152.0975435211.

The spelling of 9967491072 in words is "nine billion, nine hundred sixty-seven million, four hundred ninety-one thousand, seventy-two".