64729795680 has 1152 divisors, whose sum is σ = 274611617280. Its totient is φ = 14213283840.

The previous prime is 64729795661. The next prime is 64729795723. The reversal of 64729795680 is 8659792746.

64729795680 is a `hidden beast` number, since 6 + 47 + 29 + 7 + 9 + 568 + 0 = 666.

It is a super-3 number, since 3×64729795680³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

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, 210846087 + ... + 210846393.

It is an arithmetic number, because the mean of its divisors is an integer number (238378140).

Almost surely, 2^64729795680 is an apocalyptic number.

64729795680 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 64729795680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137305808640).

64729795680 is an abundant number, since it is smaller than the sum of its proper divisors (209881821600).

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

64729795680 is a wasteful number, since it uses less digits than its factorization.

64729795680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 64729795680 in words is "sixty-four billion, seven hundred twenty-nine million, seven hundred ninety-five thousand, six hundred eighty".