64162968927552 has 2688 divisors, whose sum is σ = 238878242242560. Its totient is φ = 16679706624000.

The previous prime is 64162968927509. The next prime is 64162968927553. The reversal of 64162968927552 is 25572986926146.

64162968927552 is a `hidden beast` number, since 6 + 4 + 1 + 6 + 2 + 9 + 68 + 9 + 2 + 7 + 552 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64162968927553) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 505220227713 + ... + 505220227839.

Almost surely, 2^{64162968927552} 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 64162968927552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119439121121280).

64162968927552 is an abundant number, since it is smaller than the sum of its proper divisors (174715273315008).

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

64162968927552 is a wasteful number, since it uses less digits than its factorization.

64162968927552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 311 counting only the distinct ones).

The product of its digits is 783820800, while the sum is 72.

The spelling of 64162968927552 in words is "sixty-four trillion, one hundred sixty-two billion, nine hundred sixty-eight million, nine hundred twenty-seven thousand, five hundred fifty-two".