64504658793120 has 768 divisors, whose sum is σ = 252227450990592. Its totient is φ = 13493083668480.

The previous prime is 64504658793097. The next prime is 64504658793131. The reversal of 64504658793120 is 2139785640546.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6792104212 + ... + 6792113708.

It is an arithmetic number, because the mean of its divisors is an integer number (328421160144).

It is a 2-persistent number, because it is pandigital, and so is 2⋅64504658793120 = 129009317586240, but 3⋅64504658793120 = 193513976379360 is not.

Almost surely, 2^{64504658793120} is an apocalyptic number.

64504658793120 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 64504658793120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126113725495296).

64504658793120 is an abundant number, since it is smaller than the sum of its proper divisors (187722792197472).

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

64504658793120 is a wasteful number, since it uses less digits than its factorization.

64504658793120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10853 (or 10845 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 60.

The spelling of 64504658793120 in words is "sixty-four trillion, five hundred four billion, six hundred fifty-eight million, seven hundred ninety-three thousand, one hundred twenty".