7197185664 has 384 divisors, whose sum is σ = 22722336000. Its totient is φ = 2264371200.

The previous prime is 7197185663. The next prime is 7197185683. The reversal of 7197185664 is 4665817917.

7197185664 is a `hidden beast` number, since 7 + 1 + 9 + 71 + 8 + 566 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 7197185664.

It is not an unprimeable number, because it can be changed into a prime (7197185663) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71259214 + ... + 71259314.

It is an arithmetic number, because the mean of its divisors is an integer number (59172750).

Almost surely, 2^7197185664 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 7197185664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11361168000).

7197185664 is an abundant number, since it is smaller than the sum of its proper divisors (15525150336).

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

7197185664 is a wasteful number, since it uses less digits than its factorization.

7197185664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 214 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The square root of 7197185664 is about 84836.2284875984. The cubic root of 7197185664 is about 1930.7271427627.

The spelling of 7197185664 in words is "seven billion, one hundred ninety-seven million, one hundred eighty-five thousand, six hundred sixty-four".