93734821442640 has 320 divisors, whose sum is σ = 345846096576000. Its totient is φ = 20547469565952.

The previous prime is 93734821442579. The next prime is 93734821442641. The reversal of 93734821442640 is 4624412843739.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93734821442641) by changing a digit.

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, 803074 + ... + 13715486.

It is an arithmetic number, because the mean of its divisors is an integer number (1080769051800).

Almost surely, 2^{93734821442640} 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 93734821442640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172923048288000).

93734821442640 is an abundant number, since it is smaller than the sum of its proper divisors (252111275133360).

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

93734821442640 is a wasteful number, since it uses less digits than its factorization.

93734821442640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12912614 (or 12912608 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 57.

The spelling of 93734821442640 in words is "ninety-three trillion, seven hundred thirty-four billion, eight hundred twenty-one million, four hundred forty-two thousand, six hundred forty".