64775568432960 has 5376 divisors, whose sum is σ = 321821233643520. Its totient is φ = 11537842176000.

The previous prime is 64775568432947. The next prime is 64775568432961. The reversal of 64775568432960 is 6923486557746.

It is a happy number.

64775568432960 is a `hidden beast` number, since 6 + 4 + 7 + 7 + 556 + 8 + 4 + 3 + 2 + 9 + 60 = 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 (64775568432961) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 239024237625 + ... + 239024237895.

Almost surely, 2^{64775568432960} is an apocalyptic number.

64775568432960 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 64775568432960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160910616821760).

64775568432960 is an abundant number, since it is smaller than the sum of its proper divisors (257045665210560).

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

64775568432960 is a wasteful number, since it uses less digits than its factorization.

64775568432960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 1828915200, while the sum is 72.

The spelling of 64775568432960 in words is "sixty-four trillion, seven hundred seventy-five billion, five hundred sixty-eight million, four hundred thirty-two thousand, nine hundred sixty".