64124531520 has 448 divisors, whose sum is σ = 239510962176. Its totient is φ = 14233190400.

The previous prime is 64124531491. The next prime is 64124531557. The reversal of 64124531520 is 2513542146.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×64124531520² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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, 32866545 + ... + 32868495.

Almost surely, 2^64124531520 is an apocalyptic number.

64124531520 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 64124531520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119755481088).

64124531520 is an abundant number, since it is smaller than the sum of its proper divisors (175386430656).

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

64124531520 is a wasteful number, since it uses less digits than its factorization.

64124531520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2118 (or 2108 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 64124531520 in words is "sixty-four billion, one hundred twenty-four million, five hundred thirty-one thousand, five hundred twenty".