82723783464 has 128 divisors (see below), whose sum is σ = 271086796800. Its totient is φ = 22872922560.

The previous prime is 82723783423. The next prime is 82723783489. The reversal of 82723783464 is 46438732728.

It is a happy number.

82723783464 is a `hidden beast` number, since 8 + 2 + 72 + 37 + 83 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 82723783464.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 835572 + ... + 929315.

It is an arithmetic number, because the mean of its divisors is an integer number (2117865600).

Almost surely, 2^82723783464 is an apocalyptic number.

82723783464 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

82723783464 is an abundant number, since it is smaller than the sum of its proper divisors (188363013336).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82723783464 is a wasteful number, since it uses less digits than its factorization.

82723783464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764940 (or 1764930 counting only the distinct ones).

The product of its digits is 10838016, while the sum is 54.

The spelling of 82723783464 in words is "eighty-two billion, seven hundred twenty-three million, seven hundred eighty-three thousand, four hundred sixty-four".