96947782848 has 280 divisors, whose sum is σ = 335432351232. Its totient is φ = 27109541376.

The previous prime is 96947782819. The next prime is 96947782849. The reversal of 96947782848 is 84828774969.

96947782848 is a `hidden beast` number, since 96 + 9 + 477 + 8 + 28 + 48 = 666.

It is a super-2 number, since 2×96947782848² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (96947782849) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1677115 + ... + 1733957.

Almost surely, 2^96947782848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96947782848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167716175616).

96947782848 is an abundant number, since it is smaller than the sum of its proper divisors (238484568384).

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

96947782848 is a wasteful number, since it uses less digits than its factorization.

96947782848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56921 (or 56902 counting only the distinct ones).

The product of its digits is 390168576, while the sum is 72.

The spelling of 96947782848 in words is "ninety-six billion, nine hundred forty-seven million, seven hundred eighty-two thousand, eight hundred forty-eight".