9761287558464 has 896 divisors, whose sum is σ = 33273119900160. Its totient is φ = 2814230200320.

The previous prime is 9761287558349. The next prime is 9761287558469. The reversal of 9761287558464 is 4648557821679.

9761287558464 is a `hidden beast` number, since 9 + 7 + 6 + 1 + 2 + 8 + 7 + 558 + 4 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 9761287558392 and 9761287558401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9761287558469) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8692152207 + ... + 8692153329.

It is an arithmetic number, because the mean of its divisors is an integer number (37135178460).

Almost surely, 2^{9761287558464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9761287558464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16636559950080).

9761287558464 is an abundant number, since it is smaller than the sum of its proper divisors (23511832341696).

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

9761287558464 is a wasteful number, since it uses less digits than its factorization.

9761287558464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1467 (or 1439 counting only the distinct ones).

The product of its digits is 812851200, while the sum is 72.

The spelling of 9761287558464 in words is "nine trillion, seven hundred sixty-one billion, two hundred eighty-seven million, five hundred fifty-eight thousand, four hundred sixty-four".