82714424800608 has 72 divisors (see below), whose sum is σ = 236093566363200. Its totient is φ = 27468978718464.

The previous prime is 82714424800583. The next prime is 82714424800633. The reversal of 82714424800608 is 80600842441728.

82714424800608 is a `hidden beast` number, since 8 + 2 + 7 + 1 + 4 + 4 + 24 + 8 + 0 + 0 + 608 = 666.

82714424800608 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (82714424800583) and next prime (82714424800633).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 533756848 + ... + 533911791.

It is an arithmetic number, because the mean of its divisors is an integer number (3279077310600).

Almost surely, 2^{82714424800608} is an apocalyptic number.

It is an amenable number.

82714424800608 is an abundant number, since it is smaller than the sum of its proper divisors (153379141562592).

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

82714424800608 is a wasteful number, since it uses less digits than its factorization.

82714424800608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067668924 (or 1067668913 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 54.

The spelling of 82714424800608 in words is "eighty-two trillion, seven hundred fourteen billion, four hundred twenty-four million, eight hundred thousand, six hundred eight".