76909335009344 has 84 divisors (see below), whose sum is σ = 157707921883500. Its totient is φ = 37212065418240.

The previous prime is 76909335009319. The next prime is 76909335009361. The reversal of 76909335009344 is 44390053390967.

It can be written as a sum of positive squares in 2 ways, for example, as 28841625793600 + 48067709215744 = 5370440^2 + 6933088^2 .

It is a super-3 number, since 3×76909335009344³ (a number of 43 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (62) 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 (62).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1869024482 + ... + 1869065630.

Almost surely, 2^{76909335009344} 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 76909335009344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78853960941750).

76909335009344 is an abundant number, since it is smaller than the sum of its proper divisors (80798586874156).

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

76909335009344 is a wasteful number, since it uses less digits than its factorization.

76909335009344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71612 (or 71571 counting only the distinct ones).

The product of its (nonzero) digits is 66134880, while the sum is 62.

The spelling of 76909335009344 in words is "seventy-six trillion, nine hundred nine billion, three hundred thirty-five million, nine thousand, three hundred forty-four".