9772906414680 has 256 divisors, whose sum is σ = 33768928512000. Its totient is φ = 2511071829504.

The previous prime is 9772906414643. The next prime is 9772906414681. The reversal of 9772906414680 is 864146092779.

9772906414680 is a `hidden beast` number, since 9 + 7 + 72 + 90 + 6 + 414 + 68 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9772906414681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14932477 + ... + 15573203.

It is an arithmetic number, because the mean of its divisors is an integer number (131909877000).

Almost surely, 2^{9772906414680} is an apocalyptic number.

9772906414680 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 9772906414680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16884464256000).

9772906414680 is an abundant number, since it is smaller than the sum of its proper divisors (23996022097320).

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

9772906414680 is a wasteful number, since it uses less digits than its factorization.

9772906414680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641263 (or 641253 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 9772906414680 in words is "nine trillion, seven hundred seventy-two billion, nine hundred six million, four hundred fourteen thousand, six hundred eighty".