76343392944 has 400 divisors, whose sum is σ = 273140017920. Its totient is φ = 20046528000.

The previous prime is 76343392943. The next prime is 76343392969. The reversal of 76343392944 is 44929334367.

It is a happy number.

76343392944 is a `hidden beast` number, since 7 + 6 + 343 + 3 + 9 + 294 + 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.

It is not an unprimeable number, because it can be changed into a prime (76343392943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 29600647 + ... + 29603225.

Almost surely, 2^76343392944 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 76343392944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136570008960).

76343392944 is an abundant number, since it is smaller than the sum of its proper divisors (196796624976).

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

76343392944 is a wasteful number, since it uses less digits than its factorization.

76343392944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2870 (or 2855 counting only the distinct ones).

The product of its digits is 11757312, while the sum is 54.

The spelling of 76343392944 in words is "seventy-six billion, three hundred forty-three million, three hundred ninety-two thousand, nine hundred forty-four".