65084256397440 has 3072 divisors, whose sum is σ = 287719324992000. Its totient is φ = 14010953564160.

The previous prime is 65084256397439. The next prime is 65084256397451. The reversal of 65084256397440 is 4479365248056.

65084256397440 is a `hidden beast` number, since 6 + 5 + 0 + 8 + 42 + 5 + 63 + 97 + 440 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 85524646660 + ... + 85524647420.

Almost surely, 2^{65084256397440} is an apocalyptic number.

65084256397440 is a gapful number since it is divisible by the number (60) 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 65084256397440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143859662496000).

65084256397440 is an abundant number, since it is smaller than the sum of its proper divisors (222635068594560).

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

65084256397440 is an equidigital number, since it uses as much as digits as its factorization.

65084256397440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 63.

The spelling of 65084256397440 in words is "sixty-five trillion, eighty-four billion, two hundred fifty-six million, three hundred ninety-seven thousand, four hundred forty".