9407776646016 has 768 divisors, whose sum is σ = 33910279603200. Its totient is φ = 2443530240000.

The previous prime is 9407776646011. The next prime is 9407776646017. The reversal of 9407776646016 is 6106466777049.

9407776646016 is a `hidden beast` number, since 9 + 40 + 7 + 77 + 66 + 460 + 1 + 6 = 666.

It is a super-2 number, since 2×9407776646016² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9407776646011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 383180941 + ... + 383205491.

It is an arithmetic number, because the mean of its divisors is an integer number (44154009900).

Almost surely, 2^{9407776646016} is an apocalyptic number.

9407776646016 is a gapful number since it is divisible by the number (96) 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 9407776646016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16955139801600).

9407776646016 is an abundant number, since it is smaller than the sum of its proper divisors (24502502957184).

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

9407776646016 is a wasteful number, since it uses less digits than its factorization.

9407776646016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24699 (or 24684 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 63.

The spelling of 9407776646016 in words is "nine trillion, four hundred seven billion, seven hundred seventy-six million, six hundred forty-six thousand, sixteen".