9767461616640 has 1320 divisors, whose sum is σ = 42525680023008. Its totient is φ = 2060523601920.

The previous prime is 9767461616519. The next prime is 9767461616657. The reversal of 9767461616640 is 466161647679.

9767461616640 is a `hidden beast` number, since 9 + 7 + 6 + 7 + 4 + 6 + 1 + 616 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1438291645 + ... + 1438298435.

Almost surely, 2^{9767461616640} is an apocalyptic number.

9767461616640 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 9767461616640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21262840011504).

9767461616640 is an abundant number, since it is smaller than the sum of its proper divisors (32758218406368).

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

9767461616640 is a wasteful number, since it uses less digits than its factorization.

9767461616640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6863 (or 6821 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 9767461616640 in words is "nine trillion, seven hundred sixty-seven billion, four hundred sixty-one million, six hundred sixteen thousand, six hundred forty".