65714120640 has 1344 divisors, whose sum is σ = 290770421760. Its totient is φ = 13795246080.

The previous prime is 65714120603. The next prime is 65714120677. The reversal of 65714120640 is 4602141756.

65714120640 is a `hidden beast` number, since 6 + 5 + 7 + 1 + 4 + 1 + 2 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (65714120603) and next prime (65714120677).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 65714120595 and 65714120604.

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, 363061350 + ... + 363061530.

It is an arithmetic number, because the mean of its divisors is an integer number (216347040).

Almost surely, 2^65714120640 is an apocalyptic number.

65714120640 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 65714120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145385210880).

65714120640 is an abundant number, since it is smaller than the sum of its proper divisors (225056301120).

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

65714120640 is a wasteful number, since it uses less digits than its factorization.

65714120640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 65714120640 in words is "sixty-five billion, seven hundred fourteen million, one hundred twenty thousand, six hundred forty".