9747795456 has 240 divisors, whose sum is σ = 32314654944. Its totient is φ = 2770993152.

The previous prime is 9747795413. The next prime is 9747795467. The reversal of 9747795456 is 6545977479.

9747795456 is a `hidden beast` number, since 97 + 4 + 7 + 7 + 95 + 456 = 666.

It is a super-3 number, since 3×9747795456³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 9747795393 and 9747795402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7515000 + ... + 7516296.

Almost surely, 2^9747795456 is an apocalyptic number.

9747795456 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 9747795456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16157327472).

9747795456 is an abundant number, since it is smaller than the sum of its proper divisors (22566859488).

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

9747795456 is a wasteful number, since it uses less digits than its factorization.

9747795456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1561 (or 1542 counting only the distinct ones).

The product of its digits is 66679200, while the sum is 63.

The square root of 9747795456 is about 98730.9245170934. The cubic root of 9747795456 is about 2136.1683156512.

The spelling of 9747795456 in words is "nine billion, seven hundred forty-seven million, seven hundred ninety-five thousand, four hundred fifty-six".