65875079424 has 1296 divisors, whose sum is σ = 254375178624. Its totient is φ = 14987427840.

The previous prime is 65875079411. The next prime is 65875079467. The reversal of 65875079424 is 42497057856.

It is a happy number.

65875079424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1780407534 + ... + 1780407570.

It is an arithmetic number, because the mean of its divisors is an integer number (196277144).

Almost surely, 2^65875079424 is an apocalyptic number.

65875079424 is a gapful number since it is divisible by the number (64) 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 65875079424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127187589312).

65875079424 is an abundant number, since it is smaller than the sum of its proper divisors (188500099200).

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

65875079424 is a wasteful number, since it uses less digits than its factorization.

65875079424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 57.

The spelling of 65875079424 in words is "sixty-five billion, eight hundred seventy-five million, seventy-nine thousand, four hundred twenty-four".