2979768465076 has 24 divisors (see below), whose sum is σ = 5752686215304. Its totient is φ = 1341734392320.

The previous prime is 2979768465071. The next prime is 2979768465077. The reversal of 2979768465076 is 6705648679792.

It can be written as a sum of positive squares in 4 ways, for example, as 105596176 + 2979662868900 = 10276^2 + 1726170^2 .

It is a super-3 number, since 3×2979768465076³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 2979768464993 and 2979768465011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2979768465071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 698817865 + ... + 698822128.

It is an arithmetic number, because the mean of its divisors is an integer number (239695258971).

Almost surely, 2^{2979768465076} is an apocalyptic number.

2979768465076 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2979768465076 is a deficient number, since it is larger than the sum of its proper divisors (2772917750228).

2979768465076 is a wasteful number, since it uses less digits than its factorization.

2979768465076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1397640051 (or 1397640049 counting only the distinct ones).

The product of its (nonzero) digits is 1920360960, while the sum is 76.

The spelling of 2979768465076 in words is "two trillion, nine hundred seventy-nine billion, seven hundred sixty-eight million, four hundred sixty-five thousand, seventy-six".