7145506368 has 1008 divisors, whose sum is σ = 30235330944. Its totient is φ = 1612431360.

The previous prime is 7145506367. The next prime is 7145506409. The reversal of 7145506368 is 8636055417.

7145506368 is a `hidden beast` number, since 7 + 1 + 4 + 5 + 5 + 0 + 636 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×7145506368² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7145506367) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 420323896 + ... + 420323912.

It is an arithmetic number, because the mean of its divisors is an integer number (29995368).

Almost surely, 2^7145506368 is an apocalyptic number.

7145506368 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7145506368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15117665472).

7145506368 is an abundant number, since it is smaller than the sum of its proper divisors (23089824576).

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

7145506368 is a wasteful number, since it uses less digits than its factorization.

7145506368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 7145506368 is about 84531.0970471814. The cubic root of 7145506368 is about 1926.0948507746.

The spelling of 7145506368 in words is "seven billion, one hundred forty-five million, five hundred six thousand, three hundred sixty-eight".