930387669120 has 1536 divisors, whose sum is σ = 4135465152000. Its totient is φ = 195796942848.

The previous prime is 930387669109. The next prime is 930387669173. The reversal of 930387669120 is 21966783039.

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

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, 2391741886 + ... + 2391742274.

It is an arithmetic number, because the mean of its divisors is an integer number (2692360125).

Almost surely, 2^930387669120 is an apocalyptic number.

930387669120 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 930387669120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2067732576000).

930387669120 is an abundant number, since it is smaller than the sum of its proper divisors (3205077482880).

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

930387669120 is an equidigital number, since it uses as much as digits as its factorization.

930387669120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 930387669120 in words is "nine hundred thirty billion, three hundred eighty-seven million, six hundred sixty-nine thousand, one hundred twenty".