9969704640 has 336 divisors, whose sum is σ = 40914828000. Its totient is φ = 2278692864.

The previous prime is 9969704627. The next prime is 9969704653. The reversal of 9969704640 is 464079699.

9969704640 is a `hidden beast` number, since 9 + 96 + 97 + 0 + 464 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9969704627) and next prime (9969704653).

It is a tau number, because it is divible by the number of its divisors (336).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 411586 + ... + 435134.

Almost surely, 2^9969704640 is an apocalyptic number.

9969704640 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 9969704640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20457414000).

9969704640 is an abundant number, since it is smaller than the sum of its proper divisors (30945123360).

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

9969704640 is a wasteful number, since it uses less digits than its factorization.

9969704640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23589 (or 23566 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The square root of 9969704640 is about 99848.4082997821. The cubic root of 9969704640 is about 2152.2568434431.

The spelling of 9969704640 in words is "nine billion, nine hundred sixty-nine million, seven hundred four thousand, six hundred forty".