9278723664 has 440 divisors, whose sum is σ = 32685562752. Its totient is φ = 2494229760.

The previous prime is 9278723647. The next prime is 9278723669. The reversal of 9278723664 is 4663278729.

9278723664 is a `hidden beast` number, since 9 + 278 + 7 + 2 + 366 + 4 = 666.

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

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

Its product of digits (6096384) is a multiple of the sum of its prime divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 9278723664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9278723669) by changing a digit.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 152110194 + ... + 152110254.

Almost surely, 2^9278723664 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 9278723664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16342781376).

9278723664 is an abundant number, since it is smaller than the sum of its proper divisors (23406839088).

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

9278723664 is an equidigital number, since it uses as much as digits as its factorization.

9278723664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 96 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The square root of 9278723664 is about 96326.1317815680. The cubic root of 9278723664 is about 2101.3388034402.

The spelling of 9278723664 in words is "nine billion, two hundred seventy-eight million, seven hundred twenty-three thousand, six hundred sixty-four".