693375621120 has 2304 divisors, whose sum is σ = 3212387942400. Its totient is φ = 140460687360.

The previous prime is 693375621031. The next prime is 693375621167. The reversal of 693375621120 is 21126573396.

693375621120 is a `hidden beast` number, since 6 + 9 + 3 + 3 + 7 + 5 + 621 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5459650497 + ... + 5459650623.

It is an arithmetic number, because the mean of its divisors is an integer number (1394265600).

Almost surely, 2^693375621120 is an apocalyptic number.

693375621120 is a gapful number since it is divisible by the number (60) 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 693375621120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606193971200).

693375621120 is an abundant number, since it is smaller than the sum of its proper divisors (2519012321280).

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

693375621120 is a wasteful number, since it uses less digits than its factorization.

693375621120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 693375621120 in words is "six hundred ninety-three billion, three hundred seventy-five million, six hundred twenty-one thousand, one hundred twenty".