64744886718720 has 1008 divisors, whose sum is σ = 265136757166512. Its totient is φ = 14999672586240.

The previous prime is 64744886718719. The next prime is 64744886718761. The reversal of 64744886718720 is 2781768844746.

It is a happy number.

64744886718720 is a `hidden beast` number, since 6 + 4 + 7 + 4 + 488 + 6 + 71 + 8 + 72 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3665785061376 + 61079101657344 = 1914624^2 + 7815312^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 206062540 + ... + 206376500.

It is an arithmetic number, because the mean of its divisors is an integer number (263032497189).

Almost surely, 2^{64744886718720} is an apocalyptic number.

64744886718720 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 64744886718720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132568378583256).

64744886718720 is an abundant number, since it is smaller than the sum of its proper divisors (200391870447792).

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

64744886718720 is a wasteful number, since it uses less digits than its factorization.

64744886718720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314030 (or 314001 counting only the distinct ones).

The product of its (nonzero) digits is 809238528, while the sum is 72.

The spelling of 64744886718720 in words is "sixty-four trillion, seven hundred forty-four billion, eight hundred eighty-six million, seven hundred eighteen thousand, seven hundred twenty".