9767485440 has 420 divisors, whose sum is σ = 36540759024. Its totient is φ = 2491416576.

The previous prime is 9767485411. The next prime is 9767485451. The reversal of 9767485440 is 445847679.

9767485440 is a `hidden beast` number, since 97 + 6 + 7 + 4 + 8 + 544 + 0 = 666.

It is a super-2 number, since 2×9767485440² (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 an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 424673269 + ... + 424673291.

Almost surely, 2^9767485440 is an apocalyptic number.

9767485440 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9767485440 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9767485440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18270379512).

9767485440 is an abundant number, since it is smaller than the sum of its proper divisors (26773273584).

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

9767485440 is an frugal number, since it uses more digits than its factorization.

9767485440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The square root of 9767485440 is about 98830.5895965414. The cubic root of 9767485440 is about 2137.6056605202.

The spelling of 9767485440 in words is "nine billion, seven hundred sixty-seven million, four hundred eighty-five thousand, four hundred forty".