64916667039744 has 765 divisors, whose sum is σ = 210797325567543. Its totient is φ = 19900104966144.

The previous prime is 64916667039673. The next prime is 64916667039761. The reversal of 64916667039744 is 44793076661946.

The square root of 64916667039744 is 8057088.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 40878120960000 + 24038546079744 = 6393600^2 + 4902912^2 .

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 44 ways as a sum of consecutive naturals, for example, 241325899642 + ... + 241325899910.

Almost surely, 2^{64916667039744} is an apocalyptic number.

64916667039744 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

64916667039744 is the 8057088-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64916667039744

64916667039744 is an abundant number, since it is smaller than the sum of its proper divisors (145880658527799).

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

64916667039744 is an frugal number, since it uses more digits than its factorization.

64916667039744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 987614208, while the sum is 72.

The spelling of 64916667039744 in words is "sixty-four trillion, nine hundred sixteen billion, six hundred sixty-seven million, thirty-nine thousand, seven hundred forty-four".