951584642064 has 525 divisors, whose sum is σ = 3254373215247. Its totient is φ = 268439790528.

The previous prime is 951584642059. The next prime is 951584642081. The reversal of 951584642064 is 460246485159.

It is a happy number.

The square root of 951584642064 is 975492.

It is a perfect power (a square), and thus also a powerful number.

951584642064 is a `hidden beast` number, since 9 + 5 + 158 + 4 + 6 + 420 + 64 = 666.

951584642064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 951584642064.

It is an unprimeable number.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 12045375177 + ... + 12045375255.

Almost surely, 2^951584642064 is an apocalyptic number.

951584642064 is the 975492-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 951584642064

951584642064 is an abundant number, since it is smaller than the sum of its proper divisors (2302788573183).

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

951584642064 is an frugal number, since it uses more digits than its factorization.

951584642064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 951584642064 in words is "nine hundred fifty-one billion, five hundred eighty-four million, six hundred forty-two thousand, sixty-four".