93410669664 has 216 divisors, whose sum is σ = 298299593592. Its totient is φ = 28741340160.

The previous prime is 93410669623. The next prime is 93410669683. The reversal of 93410669664 is 46696601439.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 93410669664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1278604 + ... + 1349684.

It is an arithmetic number, because the mean of its divisors is an integer number (1381016637).

Almost surely, 2^93410669664 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 93410669664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149149796796).

93410669664 is an abundant number, since it is smaller than the sum of its proper divisors (204888923928).

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

93410669664 is a wasteful number, since it uses less digits than its factorization.

93410669664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71132 (or 71099 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 93410669664 in words is "ninety-three billion, four hundred ten million, six hundred sixty-nine thousand, six hundred sixty-four".