64148267520 has 560 divisors, whose sum is σ = 237090193560. Its totient is φ = 16625958912.

The previous prime is 64148267503. The next prime is 64148267567. The reversal of 64148267520 is 2576284146.

64148267520 is a `hidden beast` number, since 6 + 41 + 4 + 82 + 6 + 7 + 520 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 46097807616 + 18050459904 = 214704^2 + 134352^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 69050416 + ... + 69051344.

Almost surely, 2^64148267520 is an apocalyptic number.

64148267520 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 64148267520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118545096780).

64148267520 is an abundant number, since it is smaller than the sum of its proper divisors (172941926040).

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

64148267520 is an frugal number, since it uses more digits than its factorization.

64148267520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 64148267520 in words is "sixty-four billion, one hundred forty-eight million, two hundred sixty-seven thousand, five hundred twenty".