64345733760 has 768 divisors, whose sum is σ = 263371409280. Its totient is φ = 13212057600.

The previous prime is 64345733747. The next prime is 64345733791. The reversal of 64345733760 is 6733754346.

It is a super-2 number, since 2×64345733760² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 100383040 + ... + 100383680.

Almost surely, 2^64345733760 is an apocalyptic number.

64345733760 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 64345733760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131685704640).

64345733760 is an abundant number, since it is smaller than the sum of its proper divisors (199025675520).

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

64345733760 is a wasteful number, since it uses less digits than its factorization.

64345733760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 48.

The spelling of 64345733760 in words is "sixty-four billion, three hundred forty-five million, seven hundred thirty-three thousand, seven hundred sixty".