64038099299328 has 2112 divisors, whose sum is σ = 251786895360000. Its totient is φ = 15171187507200.

The previous prime is 64038099299327. The next prime is 64038099299357. The reversal of 64038099299328 is 82399299083046.

64038099299328 is a `hidden beast` number, since 6 + 4 + 0 + 3 + 8 + 0 + 9 + 9 + 299 + 328 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (64038099299327) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 145872663333 + ... + 145872663771.

It is an arithmetic number, because the mean of its divisors is an integer number (119217280000).

Almost surely, 2^{64038099299328} 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 64038099299328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125893447680000).

64038099299328 is an abundant number, since it is smaller than the sum of its proper divisors (187748796060672).

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

64038099299328 is a wasteful number, since it uses less digits than its factorization.

64038099299328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 362797056, while the sum is 72.

The spelling of 64038099299328 in words is "sixty-four trillion, thirty-eight billion, ninety-nine million, two hundred ninety-nine thousand, three hundred twenty-eight".