78472338784667 has 32 divisors (see below), whose sum is σ = 80455998185472. Its totient is φ = 76502583972864.

The previous prime is 78472338784663. The next prime is 78472338784703. The reversal of 78472338784667 is 76648783327487.

It is a cyclic number.

It is not a de Polignac number, because 78472338784667 - 2² = 78472338784663 is a prime.

It is a super-3 number, since 3×78472338784667³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 78472338784591 and 78472338784600.

It is not an unprimeable number, because it can be changed into a prime (78472338784663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44160009683 + ... + 44160011459.

It is an arithmetic number, because the mean of its divisors is an integer number (2514249943296).

Almost surely, 2^{78472338784667} is an apocalyptic number.

78472338784667 is a deficient number, since it is larger than the sum of its proper divisors (1983659400805).

78472338784667 is a wasteful number, since it uses less digits than its factorization.

78472338784667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5067.

The product of its digits is 12745506816, while the sum is 80.

The spelling of 78472338784667 in words is "seventy-eight trillion, four hundred seventy-two billion, three hundred thirty-eight million, seven hundred eighty-four thousand, six hundred sixty-seven".