9726877440 has 576 divisors, whose sum is σ = 40751800320. Its totient is φ = 2149908480.

The previous prime is 9726877429. The next prime is 9726877453. The reversal of 9726877440 is 447786279.

9726877440 is a `hidden beast` number, since 9 + 72 + 68 + 77 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×9726877440² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7498872 + ... + 7500168.

Almost surely, 2^9726877440 is an apocalyptic number.

9726877440 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 9726877440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20375900160).

9726877440 is an abundant number, since it is smaller than the sum of its proper divisors (31024922880).

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

9726877440 is a wasteful number, since it uses less digits than its factorization.

9726877440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The square root of 9726877440 is about 98624.9331558709. The cubic root of 9726877440 is about 2134.6392039506.

The spelling of 9726877440 in words is "nine billion, seven hundred twenty-six million, eight hundred seventy-seven thousand, four hundred forty".