9775993680 has 400 divisors, whose sum is σ = 34865935104. Its totient is φ = 2538086400.

The previous prime is 9775993663. The next prime is 9775993697. The reversal of 9775993680 is 863995779.

9775993680 is a `hidden beast` number, since 9 + 7 + 7 + 599 + 36 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9775993663) and next prime (9775993697).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 64741605 + ... + 64741755.

Almost surely, 2^9775993680 is an apocalyptic number.

9775993680 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 9775993680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17432967552).

9775993680 is an abundant number, since it is smaller than the sum of its proper divisors (25089941424).

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

9775993680 is a wasteful number, since it uses less digits than its factorization.

9775993680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 25719120, while the sum is 63.

The square root of 9775993680 is about 98873.6247944820. The cubic root of 9775993680 is about 2138.2261540209.

The spelling of 9775993680 in words is "nine billion, seven hundred seventy-five million, nine hundred ninety-three thousand, six hundred eighty".