9967951350 has 72 divisors (see below), whose sum is σ = 30606366960. Its totient is φ = 2278388160.

The previous prime is 9967951333. The next prime is 9967951363. The reversal of 9967951350 is 531597699.

9967951350 is a `hidden beast` number, since 9 + 9 + 6 + 79 + 513 + 50 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1579065 + ... + 1585364.

It is an arithmetic number, because the mean of its divisors is an integer number (425088430).

Almost surely, 2^9967951350 is an apocalyptic number.

9967951350 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9967951350 is an abundant number, since it is smaller than the sum of its proper divisors (20638415610).

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

9967951350 is a wasteful number, since it uses less digits than its factorization.

9967951350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3164454 (or 3164446 counting only the distinct ones).

The product of its (nonzero) digits is 2296350, while the sum is 54.

The square root of 9967951350 is about 99839.6281543556. The cubic root of 9967951350 is about 2152.1306694735.

The spelling of 9967951350 in words is "nine billion, nine hundred sixty-seven million, nine hundred fifty-one thousand, three hundred fifty".