2979768465075 has 48 divisors (see below), whose sum is σ = 4970682793440. Its totient is φ = 1575025720320.

The previous prime is 2979768465071. The next prime is 2979768465077. The reversal of 2979768465075 is 5705648679792.

2979768465075 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2979768465075 - 2² = 2979768465071 is a prime.

It is a super-3 number, since 3×2979768465075³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (75).

It is a junction number, because it is equal to n+sod(n) for n = 2979768464988 and 2979768465006.

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 47 ways as a sum of consecutive naturals, for example, 4255207 + ... + 4905743.

It is an arithmetic number, because the mean of its divisors is an integer number (103555891530).

Almost surely, 2^{2979768465075} is an apocalyptic number.

2979768465075 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2979768465075 is a deficient number, since it is larger than the sum of its proper divisors (1990914328365).

2979768465075 is a wasteful number, since it uses less digits than its factorization.

2979768465075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651096 (or 651091 counting only the distinct ones).

The product of its (nonzero) digits is 1600300800, while the sum is 75.

The spelling of 2979768465075 in words is "two trillion, nine hundred seventy-nine billion, seven hundred sixty-eight million, four hundred sixty-five thousand, seventy-five".