930252741264 has 600 divisors, whose sum is σ = 3491446644224. Its totient is φ = 233821209600.

The previous prime is 930252741251. The next prime is 930252741269. The reversal of 930252741264 is 462147252039.

930252741264 is a `hidden beast` number, since 9 + 302 + 5 + 274 + 12 + 64 = 666.

It is not an unprimeable number, because it can be changed into a prime (930252741269) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 34015404 + ... + 34042740.

Almost surely, 2^930252741264 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 930252741264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745723322112).

930252741264 is an abundant number, since it is smaller than the sum of its proper divisors (2561193902960).

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

930252741264 is a wasteful number, since it uses less digits than its factorization.

930252741264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27417 (or 27391 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 930252741264 in words is "nine hundred thirty billion, two hundred fifty-two million, seven hundred forty-one thousand, two hundred sixty-four".