9923977440 has 720 divisors, whose sum is σ = 39774496608. Its totient is φ = 2324754432.

The previous prime is 9923977397. The next prime is 9923977447. The reversal of 9923977440 is 447793299.

It is a happy number.

9923977440 is a `hidden beast` number, since 99 + 23 + 97 + 7 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 (9923977447) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 50375422 + ... + 50375618.

Almost surely, 2^9923977440 is an apocalyptic number.

9923977440 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 9923977440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19887248304).

9923977440 is an abundant number, since it is smaller than the sum of its proper divisors (29850519168).

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

9923977440 is a wasteful number, since it uses less digits than its factorization.

9923977440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The square root of 9923977440 is about 99619.1620121350. The cubic root of 9923977440 is about 2148.9612750601.

The spelling of 9923977440 in words is "nine billion, nine hundred twenty-three million, nine hundred seventy-seven thousand, four hundred forty".