64152613075000 has 192 divisors, whose sum is σ = 153243035568000. Its totient is φ = 25168912080000.

The previous prime is 64152613074937. The next prime is 64152613075007. The reversal of 64152613075000 is 57031625146.

64152613075000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64152613075007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 653375911 + ... + 653474089.

It is an arithmetic number, because the mean of its divisors is an integer number (798140810250).

Almost surely, 2^{64152613075000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64152613075000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76621517784000).

64152613075000 is an abundant number, since it is smaller than the sum of its proper divisors (89090422493000).

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

64152613075000 is an equidigital number, since it uses as much as digits as its factorization.

64152613075000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98712 (or 98688 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

The spelling of 64152613075000 in words is "sixty-four trillion, one hundred fifty-two billion, six hundred thirteen million, seventy-five thousand".