64137338160 has 320 divisors, whose sum is σ = 240121774080. Its totient is φ = 13844413440.

The previous prime is 64137338147. The next prime is 64137338173. The reversal of 64137338160 is 6183373146.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (64137338147) and next prime (64137338173).

It is a super-2 number, since 2×64137338160² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3042055 + ... + 3063065.

It is an arithmetic number, because the mean of its divisors is an integer number (750380544).

Almost surely, 2^64137338160 is an apocalyptic number.

64137338160 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 64137338160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120060887040).

64137338160 is an abundant number, since it is smaller than the sum of its proper divisors (175984435920).

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

64137338160 is a wasteful number, since it uses less digits than its factorization.

64137338160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21136 (or 21130 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 64137338160 in words is "sixty-four billion, one hundred thirty-seven million, three hundred thirty-eight thousand, one hundred sixty".