9774262872000 has 2184 divisors, whose sum is σ = 42010320927120. Its totient is φ = 2244806784000.

The previous prime is 9774262871939. The next prime is 9774262872001. The reversal of 9774262872000 is 2782624779.

It is a happy number.

9774262872000 is a `hidden beast` number, since 9 + 7 + 7 + 4 + 2 + 628 + 7 + 2 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9774262872001) by changing a digit.

It is a polite number, since it can be written in 311 ways as a sum of consecutive naturals, for example, 514434887991 + ... + 514434888009.

It is an arithmetic number, because the mean of its divisors is an integer number (19235494930).

Almost surely, 2^{9774262872000} is an apocalyptic number.

9774262872000 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 9774262872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21005160463560).

9774262872000 is an abundant number, since it is smaller than the sum of its proper divisors (32236058055120).

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

9774262872000 is an frugal number, since it uses more digits than its factorization.

9774262872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 9774262872000 in words is "nine trillion, seven hundred seventy-four billion, two hundred sixty-two million, eight hundred seventy-two thousand".