64072313760 has 1152 divisors, whose sum is σ = 273651436800. Its totient is φ = 12448235520.

The previous prime is 64072313759. The next prime is 64072313771. The reversal of 64072313760 is 6731327046.

64072313760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×64072313760² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 238186906 + ... + 238187174.

It is an arithmetic number, because the mean of its divisors is an integer number (237544650).

Almost surely, 2^64072313760 is an apocalyptic number.

64072313760 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 64072313760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136825718400).

64072313760 is an abundant number, since it is smaller than the sum of its proper divisors (209579123040).

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

64072313760 is a wasteful number, since it uses less digits than its factorization.

64072313760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 39.

The spelling of 64072313760 in words is "sixty-four billion, seventy-two million, three hundred thirteen thousand, seven hundred sixty".