7142080608 has 288 divisors, whose sum is σ = 23126251680. Its totient is φ = 2142167040.

The previous prime is 7142080573. The next prime is 7142080643. The reversal of 7142080608 is 8060802417.

7142080608 is a `hidden beast` number, since 7 + 1 + 42 + 0 + 8 + 0 + 608 = 666.

It is an interprime number because it is at equal distance from previous prime (7142080573) and next prime (7142080643).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×7142080608² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5986060 + ... + 5987252.

It is an arithmetic number, because the mean of its divisors is an integer number (80299485).

Almost surely, 2^7142080608 is an apocalyptic number.

7142080608 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 7142080608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11563125840).

7142080608 is an abundant number, since it is smaller than the sum of its proper divisors (15984171072).

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

7142080608 is a wasteful number, since it uses less digits than its factorization.

7142080608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 7142080608 is about 84510.8313058155. The cubic root of 7142080608 is about 1925.7869932619.

The spelling of 7142080608 in words is "seven billion, one hundred forty-two million, eighty thousand, six hundred eight".