893660739328 has 576 divisors, whose sum is σ = 2286990720000. Its totient is φ = 346989920256.

The previous prime is 893660739289. The next prime is 893660739337. The reversal of 893660739328 is 823937066398.

It is a super-7 number, since 7×893660739328⁷ (a number of 85 digits) contains 7777777 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a self number, because there is not a number n which added to its sum of digits gives 893660739328.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6429213883 + ... + 6429214021.

It is an arithmetic number, because the mean of its divisors is an integer number (3970470000).

Almost surely, 2^893660739328 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 893660739328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143495360000).

893660739328 is an abundant number, since it is smaller than the sum of its proper divisors (1393329980672).

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

893660739328 is a wasteful number, since it uses less digits than its factorization.

893660739328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 64.

The spelling of 893660739328 in words is "eight hundred ninety-three billion, six hundred sixty million, seven hundred thirty-nine thousand, three hundred twenty-eight".