7254471168 has 540 divisors, whose sum is σ = 25993294470. Its totient is φ = 1941553152.

The previous prime is 7254471167. The next prime is 7254471173. The reversal of 7254471168 is 8611744527.

7254471168 is a `hidden beast` number, since 72 + 54 + 471 + 1 + 68 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6887672064 + 366799104 = 82992^2 + 19152^2 .

Its product of digits (376320) is a multiple of the sum of its prime divisors (120).

It is not an unprimeable number, because it can be changed into a prime (7254471167) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 81510868 + ... + 81510956.

Almost surely, 2^7254471168 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 7254471168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12996647235).

7254471168 is an abundant number, since it is smaller than the sum of its proper divisors (18738823302).

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

7254471168 is a wasteful number, since it uses less digits than its factorization.

7254471168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 120 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The square root of 7254471168 is about 85173.1833853825. The cubic root of 7254471168 is about 1935.8361084311.

It can be divided in two parts, 725447 and 1168, that added together give a triangular number (726615 = T₁₂₀₅).

The spelling of 7254471168 in words is "seven billion, two hundred fifty-four million, four hundred seventy-one thousand, one hundred sixty-eight".