64016248997376 has 800 divisors, whose sum is σ = 222510657156480. Its totient is φ = 18144080953344.

The previous prime is 64016248997339. The next prime is 64016248997383. The reversal of 64016248997376 is 67379984261046.

It is a happy number.

64016248997376 is a `hidden beast` number, since 6 + 4 + 0 + 1 + 6 + 2 + 489 + 9 + 73 + 76 = 666.

It is a super-3 number, since 3×64016248997376³ (a number of 42 digits) contains 333 as substring.

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

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 79 ways as a sum of consecutive naturals, for example, 430695360 + ... + 430843968.

Almost surely, 2^{64016248997376} 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 64016248997376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111255328578240).

64016248997376 is an abundant number, since it is smaller than the sum of its proper divisors (158494408159104).

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

64016248997376 is a wasteful number, since it uses less digits than its factorization.

64016248997376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148716 (or 148691 counting only the distinct ones).

The product of its (nonzero) digits is 658409472, while the sum is 72.

The spelling of 64016248997376 in words is "sixty-four trillion, sixteen billion, two hundred forty-eight million, nine hundred ninety-seven thousand, three hundred seventy-six".