76344360961 has 16 divisors (see below), whose sum is σ = 84694454208. Its totient is φ = 68230411200.

The previous prime is 76344360949. The next prime is 76344361003. The reversal of 76344360961 is 16906344367.

It is a cyclic number.

It is not a de Polignac number, because 76344360961 - 2¹³ = 76344352769 is a prime.

It is a super-4 number, since 4×76344360961⁴ (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (76344369961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1295050 + ... + 1352716.

It is an arithmetic number, because the mean of its divisors is an integer number (5293403388).

Almost surely, 2^76344360961 is an apocalyptic number.

It is an amenable number.

76344360961 is a deficient number, since it is larger than the sum of its proper divisors (8350093247).

76344360961 is a wasteful number, since it uses less digits than its factorization.

76344360961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59712.

The product of its (nonzero) digits is 1959552, while the sum is 49.

The spelling of 76344360961 in words is "seventy-six billion, three hundred forty-four million, three hundred sixty thousand, nine hundred sixty-one".