65828504070 has 384 divisors, whose sum is σ = 205076551680. Its totient is φ = 14340188160.

The previous prime is 65828504051. The next prime is 65828504087. The reversal of 65828504070 is 7040582856.

65828504070 is a `hidden beast` number, since 6 + 58 + 28 + 504 + 0 + 70 = 666.

65828504070 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 289993297 + ... + 289993523.

It is an arithmetic number, because the mean of its divisors is an integer number (534053520).

Almost surely, 2^65828504070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65828504070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102538275840).

65828504070 is an abundant number, since it is smaller than the sum of its proper divisors (139248047610).

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

65828504070 is a wasteful number, since it uses less digits than its factorization.

65828504070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 65828504070 in words is "sixty-five billion, eight hundred twenty-eight million, five hundred four thousand, seventy".