84045694761 has 96 divisors (see below), whose sum is σ = 148186771200. Its totient is φ = 44834549760.

The previous prime is 84045694729. The next prime is 84045694769. The reversal of 84045694761 is 16749654048.

84045694761 is a `hidden beast` number, since 8 + 4 + 0 + 4 + 569 + 4 + 76 + 1 = 666.

It is not a de Polignac number, because 84045694761 - 2⁵ = 84045694729 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 84045694698 and 84045694707.

It is not an unprimeable number, because it can be changed into a prime (84045694769) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35900451 + ... + 35902791.

It is an arithmetic number, because the mean of its divisors is an integer number (1543612200).

Almost surely, 2^84045694761 is an apocalyptic number.

It is an amenable number.

84045694761 is a deficient number, since it is larger than the sum of its proper divisors (64141076439).

84045694761 is a wasteful number, since it uses less digits than its factorization.

84045694761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2799 (or 2796 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 84045694761 in words is "eighty-four billion, forty-five million, six hundred ninety-four thousand, seven hundred sixty-one".