9967461900 has 72 divisors (see below), whose sum is σ = 31460944704. Its totient is φ = 2416353600.

The previous prime is 9967461869. The next prime is 9967461919. The reversal of 9967461900 is 91647699.

It is a super-2 number, since 2×9967461900² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1506922 + ... + 1513521.

Almost surely, 2^9967461900 is an apocalyptic number.

It is an amenable number.

9967461900 is an abundant number, since it is smaller than the sum of its proper divisors (21493482804).

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

9967461900 is a wasteful number, since it uses less digits than its factorization.

9967461900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3020471 (or 3020464 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 51.

The square root of 9967461900 is about 99837.1769432610. The cubic root of 9967461900 is about 2152.0954439940.

The spelling of 9967461900 in words is "nine billion, nine hundred sixty-seven million, four hundred sixty-one thousand, nine hundred".