993378760920 has 2688 divisors, whose sum is σ = 4684571418240. Its totient is φ = 183817175040.

The previous prime is 993378760919. The next prime is 993378760921. The reversal of 993378760920 is 29067873399.

It is an interprime number because it is at equal distance from previous prime (993378760919) and next prime (993378760921).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993378760921) by changing a digit.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 16284897690 + ... + 16284897750.

It is an arithmetic number, because the mean of its divisors is an integer number (1742772105).

Almost surely, 2^993378760920 is an apocalyptic number.

993378760920 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 993378760920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2342285709120).

993378760920 is an abundant number, since it is smaller than the sum of its proper divisors (3691192657320).

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

993378760920 is a wasteful number, since it uses less digits than its factorization.

993378760920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 30862944, while the sum is 63.

The spelling of 993378760920 in words is "nine hundred ninety-three billion, three hundred seventy-eight million, seven hundred sixty thousand, nine hundred twenty".