7616564172 has 144 divisors (see below), whose sum is σ = 23350279680. Its totient is φ = 2046173184.

The previous prime is 7616564167. The next prime is 7616564177. The reversal of 7616564172 is 2714656167.

7616564172 is a `hidden beast` number, since 7 + 6 + 16 + 564 + 1 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (7616564167) and next prime (7616564177).

It is not an unprimeable number, because it can be changed into a prime (7616564177) 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, 330828 + ... + 353100.

It is an arithmetic number, because the mean of its divisors is an integer number (162154720).

Almost surely, 2^7616564172 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 7616564172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11675139840).

7616564172 is an abundant number, since it is smaller than the sum of its proper divisors (15733715508).

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

7616564172 is a wasteful number, since it uses less digits than its factorization.

7616564172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22372 (or 22367 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 7616564172 is about 87272.9292048800. The cubic root of 7616564172 is about 1967.5224742402.

The spelling of 7616564172 in words is "seven billion, six hundred sixteen million, five hundred sixty-four thousand, one hundred seventy-two".