64701020160 has 768 divisors, whose sum is σ = 266252313600. Its totient is φ = 14598144000.

The previous prime is 64701020149. The next prime is 64701020249. The reversal of 64701020160 is 6102010746.

64701020160 is a `hidden beast` number, since 6 + 470 + 10 + 20 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 195471195 + ... + 195471525.

It is an arithmetic number, because the mean of its divisors is an integer number (346682700).

Almost surely, 2^64701020160 is an apocalyptic number.

64701020160 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 64701020160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133126156800).

64701020160 is an abundant number, since it is smaller than the sum of its proper divisors (201551293440).

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

64701020160 is a wasteful number, since it uses less digits than its factorization.

64701020160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 64701020160 in words is "sixty-four billion, seven hundred one million, twenty thousand, one hundred sixty".