7574321664 has 560 divisors, whose sum is σ = 28051871232. Its totient is φ = 1988665344.

The previous prime is 7574321617. The next prime is 7574321669. The reversal of 7574321664 is 4661234757.

7574321664 is a `hidden beast` number, since 7 + 57 + 432 + 166 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7574321669) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 33965457 + ... + 33965679.

Almost surely, 2^7574321664 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 7574321664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14025935616).

7574321664 is an abundant number, since it is smaller than the sum of its proper divisors (20477549568).

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

7574321664 is an equidigital number, since it uses as much as digits as its factorization.

7574321664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 248 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The square root of 7574321664 is about 87030.5789019009. The cubic root of 7574321664 is about 1963.8783459365.

The spelling of 7574321664 in words is "seven billion, five hundred seventy-four million, three hundred twenty-one thousand, six hundred sixty-four".