64120685760 has 168 divisors, whose sum is σ = 220847296176. Its totient is φ = 17075681280.

The previous prime is 64120685729. The next prime is 64120685771. The reversal of 64120685760 is 6758602146.

64120685760 is a `hidden beast` number, since 6 + 4 + 12 + 0 + 68 + 576 + 0 = 666.

It is a super-2 number, since 2×64120685760² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2165455 + ... + 2194865.

Almost surely, 2^64120685760 is an apocalyptic number.

64120685760 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 64120685760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110423648088).

64120685760 is an abundant number, since it is smaller than the sum of its proper divisors (156726610416).

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

64120685760 is a wasteful number, since it uses less digits than its factorization.

64120685760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30191 (or 30178 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 64120685760 in words is "sixty-four billion, one hundred twenty million, six hundred eighty-five thousand, seven hundred sixty".