9676379833344 has 495 divisors, whose sum is σ = 33635003174487. Its totient is φ = 2762888196096.

The previous prime is 9676379833303. The next prime is 9676379833381. The reversal of 9676379833344 is 4433389736769.

It is a happy number.

The square root of 9676379833344 is 3110688.

It is a perfect power (a square), and thus also a powerful number.

9676379833344 is a `hidden beast` number, since 96 + 7 + 63 + 79 + 83 + 334 + 4 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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 an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6271146237 + ... + 6271147779.

Almost surely, 2^{9676379833344} is an apocalyptic number.

9676379833344 is the 3110688-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9676379833344

9676379833344 is an abundant number, since it is smaller than the sum of its proper divisors (23958623341143).

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

9676379833344 is an frugal number, since it uses more digits than its factorization.

9676379833344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3132 (or 1555 counting only the distinct ones).

The product of its digits is 1481421312, while the sum is 72.

The spelling of 9676379833344 in words is "nine trillion, six hundred seventy-six billion, three hundred seventy-nine million, eight hundred thirty-three thousand, three hundred forty-four".