9771632640 has 1344 divisors, whose sum is σ = 46405457280. Its totient is φ = 1911029760.

The previous prime is 9771632609. The next prime is 9771632641. The reversal of 9771632640 is 462361779.

9771632640 is a `hidden beast` number, since 9 + 7 + 7 + 1 + 632 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×9771632640² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (9771632641) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 574801912 + ... + 574801928.

It is an arithmetic number, because the mean of its divisors is an integer number (34527870).

Almost surely, 2^9771632640 is an apocalyptic number.

9771632640 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 9771632640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23202728640).

9771632640 is an abundant number, since it is smaller than the sum of its proper divisors (36633824640).

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

9771632640 is a wasteful number, since it uses less digits than its factorization.

9771632640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 9771632640 is about 98851.5687280682. The cubic root of 9771632640 is about 2137.9081547450.

It can be divided in two parts, 9771 and 632640, that added together give a triangular number (642411 = T₁₁₃₃).

The spelling of 9771632640 in words is "nine billion, seven hundred seventy-one million, six hundred thirty-two thousand, six hundred forty".