9769556006496 has 1152 divisors, whose sum is σ = 35700577113600. Its totient is φ = 2561925611520.

The previous prime is 9769556006491. The next prime is 9769556006521. The reversal of 9769556006496 is 6946006559679.

9769556006496 is a `hidden beast` number, since 9 + 7 + 6 + 9 + 5 + 5 + 600 + 6 + 4 + 9 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9769556006491) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14961034906 + ... + 14961035558.

It is an arithmetic number, because the mean of its divisors is an integer number (30990084300).

Almost surely, 2^{9769556006496} is an apocalyptic number.

9769556006496 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 9769556006496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17850288556800).

9769556006496 is an abundant number, since it is smaller than the sum of its proper divisors (25931021107104).

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

9769556006496 is a wasteful number, since it uses less digits than its factorization.

9769556006496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 661348800, while the sum is 72.

The spelling of 9769556006496 in words is "nine trillion, seven hundred sixty-nine billion, five hundred fifty-six million, six thousand, four hundred ninety-six".