9747564364800 has 792 divisors, whose sum is σ = 36315037938816. Its totient is φ = 2590626447360.

The previous prime is 9747564364753. The next prime is 9747564364829. The reversal of 9747564364800 is 84634657479.

It is a happy number.

9747564364800 is a `hidden beast` number, since 9 + 7 + 4 + 7 + 564 + 3 + 64 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×9747564364800² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1971991129 + ... + 1971996071.

Almost surely, 2^{9747564364800} is an apocalyptic number.

9747564364800 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 9747564364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18157518969408).

9747564364800 is an abundant number, since it is smaller than the sum of its proper divisors (26567473574016).

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

9747564364800 is a wasteful number, since it uses less digits than its factorization.

9747564364800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5305 (or 5270 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 9747564364800 in words is "nine trillion, seven hundred forty-seven billion, five hundred sixty-four million, three hundred sixty-four thousand, eight hundred".