65813077693440 has 2112 divisors, whose sum is σ = 299495607091200. Its totient is φ = 13233217536000.

The previous prime is 65813077693421. The next prime is 65813077693457. The reversal of 65813077693440 is 4439677031856.

It is a happy number.

65813077693440 is a `hidden beast` number, since 6 + 5 + 8 + 1 + 30 + 7 + 76 + 93 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a super-2 number, since 2×65813077693440² (a number of 28 digits) contains 22 as substring.

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

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, 5389648935 + ... + 5389661145.

Almost surely, 2^{65813077693440} is an apocalyptic number.

65813077693440 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 65813077693440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149747803545600).

65813077693440 is an abundant number, since it is smaller than the sum of its proper divisors (233682529397760).

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

65813077693440 is a wasteful number, since it uses less digits than its factorization.

65813077693440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12305 (or 12270 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 65813077693440 in words is "sixty-five trillion, eight hundred thirteen billion, seventy-seven million, six hundred ninety-three thousand, four hundred forty".