82758546864 has 360 divisors, whose sum is σ = 282314692608. Its totient is φ = 22537025280.

The previous prime is 82758546817. The next prime is 82758546869. The reversal of 82758546864 is 46864585728.

82758546864 is a `hidden beast` number, since 8 + 2 + 7 + 5 + 8 + 546 + 86 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (82758546869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14652489 + ... + 14658135.

Almost surely, 2^82758546864 is an apocalyptic number.

82758546864 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82758546864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141157346304).

82758546864 is an abundant number, since it is smaller than the sum of its proper divisors (199556145744).

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

82758546864 is a wasteful number, since it uses less digits than its factorization.

82758546864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5773 (or 5757 counting only the distinct ones).

The product of its digits is 103219200, while the sum is 63.

The spelling of 82758546864 in words is "eighty-two billion, seven hundred fifty-eight million, five hundred forty-six thousand, eight hundred sixty-four".