64124365602000 has 960 divisors, whose sum is σ = 239923563909120. Its totient is φ = 14609785856000.

The previous prime is 64124365601999. The next prime is 64124365602019. The reversal of 64124365602000 is 20656342146.

It is a super-2 number, since 2×64124365602000² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 64124365602000.

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, 16003083997 + ... + 16003088003.

It is an arithmetic number, because the mean of its divisors is an integer number (249920379072).

Almost surely, 2^{64124365602000} is an apocalyptic number.

64124365602000 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 64124365602000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119961781954560).

64124365602000 is an abundant number, since it is smaller than the sum of its proper divisors (175799198307120).

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

64124365602000 is a wasteful number, since it uses less digits than its factorization.

64124365602000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4917 (or 4884 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 64124365602000 in words is "sixty-four trillion, one hundred twenty-four billion, three hundred sixty-five million, six hundred two thousand".