64362059274240 has 6144 divisors, whose sum is σ = 316219438080000. Its totient is φ = 12285628121088.

The previous prime is 64362059274239. The next prime is 64362059274241. The reversal of 64362059274240 is 4247295026346.

64362059274240 is a `hidden beast` number, since 6 + 4 + 3 + 6 + 2 + 0 + 592 + 7 + 4 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (64362059274239) and next prime (64362059274241).

It is a tau number, because it is divible by the number of its divisors (6144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64362059274241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 775446497239 + ... + 775446497321.

It is an arithmetic number, because the mean of its divisors is an integer number (51468007500).

Almost surely, 2^{64362059274240} is an apocalyptic number.

64362059274240 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 64362059274240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158109719040000).

64362059274240 is an abundant number, since it is smaller than the sum of its proper divisors (251857378805760).

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

64362059274240 is a wasteful number, since it uses less digits than its factorization.

64362059274240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 64362059274240 in words is "sixty-four trillion, three hundred sixty-two billion, fifty-nine million, two hundred seventy-four thousand, two hundred forty".