64742572021248 has 1400 divisors, whose sum is σ = 225181234985256. Its totient is φ = 18586384312320.

The previous prime is 64742572021189. The next prime is 64742572021289. The reversal of 64742572021248 is 84212027524746.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

64742572021248 is a `hidden beast` number, since 6 + 4 + 7 + 4 + 2 + 572 + 0 + 21 + 2 + 48 = 666.

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

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 64742572021248 = 5016³ + 40128³ = 22572³ + 37620³.

It is a junction number, because it is equal to n+sod(n) for n = 64742572021194 and 64742572021203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 3407503790583 + ... + 3407503790601.

Almost surely, 2^{64742572021248} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64742572021248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112590617492628).

64742572021248 is an abundant number, since it is smaller than the sum of its proper divisors (160438662964008).

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

64742572021248 is an frugal number, since it uses more digits than its factorization.

64742572021248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 12042240, while the sum is 54.

The spelling of 64742572021248 in words is "sixty-four trillion, seven hundred forty-two billion, five hundred seventy-two million, twenty-one thousand, two hundred forty-eight".