693015130080 has 1152 divisors, whose sum is σ = 3082270786560. Its totient is φ = 144118517760.

The previous prime is 693015130043. The next prime is 693015130081. The reversal of 693015130080 is 80031510396.

It is a happy number.

693015130080 is a `hidden beast` number, since 69 + 3 + 0 + 1 + 513 + 0 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (693015130081) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 195378867 + ... + 195382413.

It is an arithmetic number, because the mean of its divisors is an integer number (2675582280).

Almost surely, 2^693015130080 is an apocalyptic number.

693015130080 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 693015130080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541135393280).

693015130080 is an abundant number, since it is smaller than the sum of its proper divisors (2389255656480).

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

693015130080 is a wasteful number, since it uses less digits than its factorization.

693015130080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3669 (or 3648 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 693015130080 in words is "six hundred ninety-three billion, fifteen million, one hundred thirty thousand, eighty".